# Find The Greatest Common Factor (GCF) For The Following: 1. 4, 12, 16 2. 12, 18, 9 3. 22, 8, 28 4. 56, (2023)

Mathematics Middle School

1. 4

2. 3.

3. 2

4. 8.

Step-by-step explanation:

Find the GCF of 4, 12, 16 .

Write as prime factors:

4 = 2*2

12 = 2*2*3

16 = 2*2*2*2

Note that 2*2 is common to all 3 of three factors The GCF = 4.

Find the GCF of 12, 18 and 9, .

Write as prime factors:

12 = 2*2 * 3

18 = 2*3*3

9 = 3*3

Note that 3 is common to all 3 of the factors The GCF = 3.

Find the GCF of 22, 8 and 28:

Write as prime factors:

22 = 2*11

8 = 2*2*2

28 = 2*2*7

Note that 2 is common to all 3 of three factors The GCF = 2.

Find the GCF of 56, 16 and 24:

Write as prime factors:

16 = 2*2*2*2

24 = 2*2*2*3

56 = 2*2*2*7

Notice that 2*2*2 is common to all 3 factors , so the GCF = 8.

## Related Questions

What is the sum? 8 + (negative 12) –20 –4 4 20

8 + (-12)

= 8 - 12

= -4

Because a + - makes a -

-4

Step-by-step explanation:

How do the letters SOH-CAH-TOA help you remember the three trigonometric ratios?

SOH->

SIN=OPPOSITE/HYPOTENUSE

They stand for what you need to memorize in the math equation

Select the correct answer. How does the rate of a proportional tax change with income?
OA. The rate increases as income increases.
OB. The rate remains the same, even if income increases or decreases.
Oc. The rate decreases as income increases.
OD. The rate decreases as income decreases.
Reset
Next

(Video) Greatest Common Factor | How to Find the Greatest Common Factor (GCF)

Step-by-step explanation:

The rate increases

Step-by-step explanation:

The rate increases

Step-by-step explanation:

The rate increases

Step-by-step explanation:

The rate increases

The rate increases

cylinder with height 9 inches and radius is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 2r r fill?

4

Step-by-step explanation:

The 1st cylinder used to fill the pitcher has:

height:

h = 9 in

r = r

The volume of a cylinder is given by:

Therefore, the volume of the 1st cylinder is

We are told that the water inside this cylinder can fill a certain pitcher, so this is also the volume of the pitcher.

Then, we have a second cylinder, which has height

h = 9 in

r' = 2r

So the volume of this cylinder is

This means that the number of pitchers that can be filled by this 2nd cylinder is

Which crops grow in the tierra fria A.potatoes, barley, and wheat

B.coffee, corn, and wheat

C.bananas, sugarcane, and rice

D.corn, sugarcane, and barley

A

Step-by-step explanation:

potatoes barley and wheat are tierra fria

a is the answer to the question

Which type of stress causes rocks to fold? con
O
compression
shearing
strike-slip
tension
O

The type of stress that causes rocks to fold is Compression.

The stress causes rocks to fold is Compression.

(Video) How To Find The Greatest Common Factor Quickly!

Which type of stress causes rocks to fold compression?

• Compression stress squeezes rocks together.
• Compression causes rocks to fold or fracture .
• When two cars collide, compression causes them to crumple.
• Compression is the most common stress at convergent plate boundaries.

Cause of Compression

• The rock goes back to its original shape when the stress is removed.
• A bend or fold in the rocks is caused by compression.
• Folds are easiest to see in sedimentary or volcanic rocks that were deposited horizontally.

brainly.com/question/419780

#SPJ2

A pair of shoes usually sells for \$60. If the shoes are 30% off, and sales tax is 7%, what is the total price of the shoes including tax?

it will cost about i think it will add up to 37.40\$

What are the next three terms of the following arithmetic sequence:7/5, 4/5, 1/5

-2/5, -1, -8/5

Step-by-step explanation:

7/5 - 3/5 = 4/5

4/5 - 3/5 = 1/5

1/5 - 3/5 = - 2/5

- 2/5 - 3/5 = - 5/5 = - 1

- 5/5 - 3/5 = - 8/5

1) A store manager uses a markup rate of 28% on all televisions. What is the markup on a television
which cost the store \$300?
A) 894 B) 548 C)\$84 D) \$384

D, \$384

Step-by-step explanation:

Original price: \$300

If the price raised by 28% then we are adding 28% more to \$300.

.28 x 300 = 84

300 + 84 = \$384

6. Darcy jogs 3 km in 20 min. a) How far can she jog in 1 h?
b) How far can she jog in 2 h?
c) What assumption are you making to answer parts a) and b)?

can someone solve this?​

a) 9 km

b) 18 km

c) She runs at a constant speed of 9 km/h

Step-by-step explanation:

Select the correct answer. A group of astronomers observed light coming from a star located a distance of 331,000,000,000,000,000,000,000,000 light-years from Earth. What is this distance expressed in scientific notation?

3.31 times 10^25

Step-by-step explanation:

I think I am right but I am not sure.

(Video) Finding the Greatest Common Factor

The answer would be 3.31 times 10^25

Step-by-step explanation:

I got it correct on my test!

7. Justin takes his pulse and counts 18 heart beats in 15 s. a) What is his heart rate in beats per second?
b) What is his heart rate in beats per minute?
c) What is his heart rate in beats per hour?​

18÷15=a

18÷15×60=b

18÷15×60×60=c

The polynomial p(x) = 2x^3+17x^2+41x+30 has a known factor of (x+5) Rewrite p(x) as a product of linear factors

2x³ + 17x² + 41x + 30 = (x + 5) (x + 2) (2x + 3)

Step-by-step explanation:

2x³ + 17x² + 41x + 30 = (x + 5) (2x² + ax + 6) =

2x³ + (a + 10) x² + (5a + 6) x + 30

a + 10 = 17 a = 7 ( check: 5a + 6 = 5 x 7 + 6 = 41)

2x³ + 17x² + 41x + 30 = (x + 5) (2x² + 7x + 6) = (x + 5) (x + 2) (2x + 3)

(x+5)(x+2)(2x+3)

Step-by-step explanation:

Find the product. (-2x2)3 ·3x

-4×9=-27

-18^x^6

Step-by-step explanation:

6. Darcy jogs 3 km in 20 min. a) How far can she jog in 1 h?
b) How far can she jog in 2 h?
c) What assumption are you making to answer parts a) and b)?​

Step-by-step explanation:

a) 3km=20 minutes

times both side by 3 as 20x3 is 60mins equal 1 hour

so 3kmx3 is 9km

b) 3km is 20 mins

times both side by 6 as 20x6 is 120 mins which is equivalent to 2 hours

therefore, 3kmx6 is 18km

c) the assumption is that the longer you run means that youll jog more further so more fitness

- 7.52 + 5.5 + 8z = - 23.5​

z = -2.685

(Video) GCF | How to Find the Greatest Common Factors | in 4 ways | made easy

Step-by-step explanation:

First combine like terms

-7.52+5.5= -2.02

Now you have:

-2.02+8z= -23.5

which if you add 2.02 on both sides you should get

8z = 21.48

so you divide 8 on both sides which is

z= -2.685

Z= 2.685
8x-2.685= -21.48
-21.48+5.5-7.52= -23.5

Think about how to use the interactive tool to form an expression equivalent to -x + (-3x) + 12 -9. An equivalent expression is

an equivalent expression is...

-4x+3

x= 3/4 or .75

Step-by-step explanation:

Add -x and -3x and get -4x

Subtract the 9 from 12 and get 3

Set -4x=-3

-4x/-4=-3/-4

x=3/4

A real estate agent earns 2.4% on the sale of a house priced at \$289,950.00 how much does she earn on that house

Somewhere around 6,960\$

somewhere around 6,960\$ :-)

:-) ;-) ;-)

Step-by-step explanation:

Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (4, 2).

Equation in slope-intercept form is y = 2x - 6

Step-by-step explanation:

• Step 1: Given slope of the line, m = 2. Form an equation y = mx + b

⇒ y = 2x + b ---- (1)

• Step 2: The line passes through the point (4,2). So it will satisfy the equation. Find b by substituting x = 4 and y = 2.

⇒ 2 = 2 × 4 + b = 8 + b

⇒ b = -6

• Step 3: Form the slope-intercept equation.

⇒ y = 2x - 6

If 60 lbs of force must be applied to the valve for it to open, how much upward force must push rod X apply for the valve to open?

It must push 40 lbs of force to open the valve.

Step-by-step explanation:

The momentum at one end of the pivot must be equal to the momentum at the other end. Assuming the 60 lbs of force (F1) is applied at 2 inches from the pivot (d1) and the upward force (F2) is applied at 3 inches from the pivot (d2), then:

F1*d1 = F2*d2

Solving for F2 we get:

F2 = F1*d1/d2

F2 = 60*2/3 = 40 lbs of force

(Video) Finding the Greatest Common Factor, GCF

plz mark me as brainliest :)

## FAQs

### What is the GCF of 12 16 and 18? ›

What is the HCF 12, 16 and 18? The Highest Common Factor (HCF) or the Greatest Common Divisor (GCD) of 12, 16 and 18 is 2. The number 2 is the only common prime factor of 12, 16 and 18. Hence, the Highest Common Factor of 12, 16 and 18 is 2.

What is the greatest common factor of 12 4 and 16? ›

The greatest of these is 4 and that is the greatest common factor.

What is the GCF of 12 24 and 18? ›

Therefore, the highest common factor of 12, 18 and 24 is 6.

What is the greatest or highest common factor GCF HCF of 12 and 16? ›

The HCF of 12 and 16 is 4.

It can also be referred to as GCD, Greatest Common Divisor or GCF, Greatest Common Factor. For the given set of numbers 12 and 16, 4 is the HCF/GCD/GCF. Even though there are other common factors, like 1 and 2, 4 is greater than the other common factors.

What are the common factors of 12 16 18 24? ›

There are 3 common factors of 12, 16 and 24, that are 1, 2, and 4. Therefore, the highest common factor of 12, 16 and 24 is 4.

What is the GCF of 12 and 18 2? ›

FAQs on GCF of 12 and 18

The GCF of 12 and 18 is 6. To calculate the GCF (Greatest Common Factor) of 12 and 18, we need to factor each number (factors of 12 = 1, 2, 3, 4, 6, 12; factors of 18 = 1, 2, 3, 6, 9, 18) and choose the greatest factor that exactly divides both 12 and 18, i.e., 6.

Is 12 the GCF of 4 and 12? ›

FAQs on GCF of 4 and 12

The GCF of 4 and 12 is 4. To calculate the GCF of 4 and 12, we need to factor each number (factors of 4 = 1, 2, 4; factors of 12 = 1, 2, 3, 4, 6, 12) and choose the greatest factor that exactly divides both 4 and 12, i.e., 4.

What is the common factor of 4 12 and 16? ›

LCM of 4, 12, and 16 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 24 × 31 = 48. Hence, the LCM of 4, 12, and 16 by prime factorization is 48.

What are the factors of GCF of 12 and 16? ›

Thus, the common factors of 16 and 12 are: 1, 2, and 4. Often in math problems, it can be desirable to find the greatest common factor of some given numbers. In this case, the greatest common factor is 4.

What is the GCF of 18 12 and 12? ›

The common factors of 12 and 18 are 1, 2, 3 and 6. The greatest common factor of them is 6.

### What is the GCF of 12 and 18? ›

Since 6 is the largest of these common factors, the GCF of 12 and 18 would be 6.

What is the greatest common factor of 12 16 and 18 using continuous division? ›

The HCF of 12, 16, and 18 is 2. ∴ The highest number that divides 12, 16, and 18 is 2.

What is the greatest common factor of 16? ›

FAQs on GCF of 16 and 100

To calculate the GCF of 16 and 100, we need to factor each number (factors of 16 = 1, 2, 4, 8, 16; factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100) and choose the greatest factor that exactly divides both 16 and 100, i.e., 4.

What are the common factors of 16? ›

The factors of 16 are 1, 2, 4, 8 and 16.

What is the greatest common factor of 4 8 and 12? ›

There are 3 common factors of 4, 8 and 12, which are 1, 2, and 4. Therefore, the highest common factor of 4, 8 and 12 is 4.

What is the LCM of 16 24 and 12? ›

LCM of 12, 16 and 24 is 48.

What are the common factors of 12 and 24 and 12 and 36? ›

There are six common factors of 12, 24 and 36. They are 1, 2, 3, 4, 6 and 12. Therefore, 12 is the Highest Common Factor of 12, 24 and 36.

What is the GCF and LCM of 12 16 and 18? ›

LCM of 12, 16 and 18 is 144.

What is the GCF of 12 15 and 18? ›

Solution: The highest number that divides 12, 15, and 18 exactly is their highest common factor. The HCF of 12, 15, and 18 is 3.

What is the GCF and LCM of 12 18 and 24? ›

LCM of 12, 18 and 24 is 72.

### What is the greatest common factor of 18 and 16? ›

The GCF of 16 and 18 is 2. To calculate the greatest common factor of 16 and 18, we need to factor each number (factors of 16 = 1, 2, 4, 8, 16; factors of 18 = 1, 2, 3, 6, 9, 18) and choose the greatest factor that exactly divides both 16 and 18, i.e., 2.

What is the GCF of 16 and 24? ›

8 is a common factor of 16 and 24.

What is the GCF of 18 and 24? ›

18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.

What is the GCF 12 and 12? ›

When you compare the two lists of factors, you can see that the common factor(s) are 1, 2, 3, 4, 6, 12. Since 12 is the largest of these common factors, the GCF of 12 and 12 would be 12.

What is the GCF of 4 and 16? ›

There are 3 common factors of 4 and 16, and they are 1, 2 and 4. Therefore, the highest common factor of 4 and 16 is 4.

What is a factor of 4 and 16? ›

There are 3 common factors of 4 and 16, that are 1, 2, and 4. Therefore, the greatest common factor of 4 and 16 is 4.

What is 4 and 1, 2 GCF? ›

Solution: The GCF of 4 and 12 is 4.

What is the GCF 18? ›

The factors of 18 are 1, 2, 3, 6, 9, 18. The factors of 27 are 1, 3, 9, 27. The common factors of 18 and 27 are 1, 3 and 9. The greatest common factor of 18 and 27 is 9.

What is the greatest common factor of 12x 12 and 16x 16? ›

The HCF (highest common factor) of 12x^12 and 16x^16 is 4x^12. To find the HCF of two polynomials, we look for the largest monomial that divides both of them exactly. In this case, the largest monomial that divides both 12x^12 and 16x^16 is 4x^12. Therefore, 4x^12 is the HCF of the two polynomials.

What are the factors of 18? ›

As 18 is an even composite number, it has more factors other than 1 and 18. Hence, the factors of 18 are 1, 2, 3, 6, 9 and 18, and its negative factors are -1, -2, -3, -6, -9 and -18.

### What is the GCF of 12? ›

Finding the Greatest Common Factor
Two NumbersFactorsGreatest Common Factor
9 and 129: 1, 3, 9 12: 1, 2, 3, 4, 6, 123

What is the greatest factor of 12? ›

Factors of the number 12: You can evenly divide 12 by 1, 2, 3, 4, 6 and 12. Therefore, we can say that 1,2,3,4,6 and 12 are factors of 12. We can also say that the greatest or largest factor of 12 is 12.

What is the GCF of 12 6 and 18? ›

The common factors of 12 and 18 are 1, 2, 3 and 6. The greatest common factor of them is 6.

What is the highest common factor of 12 18 and 8? ›

Hence, H.C.F. of 8, 12 and 18 is 2.

What is the greatest common factor of 18 and 2? ›

When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 18 and 2 would be 2.

What is the GCF of 16 24 and 32 using continuous division? ›

Hence GCF of 16, 24 and 32 is 8. Note: GCF also known as greatest common factor is the largest factor of the given numbers which means it is the largest numbers that divide all the given numbers completely.

How do you find the LCM of 12 and 16? ›

LCM of 12 and 16 is 48. A way of finding the smallest common multiple between any two numbers or more is known as Least Common Multiple (LCM). The numbers (12, 24, 36, 48, 60, 72…) and (16, 32, 48, 64, 80, 96, 112….) are the first few multiples of 12 and 16, respectively.

What is the greatest common factor of 16 and 2? ›

Solution: The GCF of 2 and 16 is 2.

What is the GCF of 1 and 16? ›

When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 1 and 16 is 1.

What is the greatest common factor 8 or 16? ›

The Highest Common Factor of 8 and 16 is 8. The factors of 8 and 16 are 1, 2, 4, 8 and 1, 2, 4, 8, 16, respectively. Among these factors, the Highest Common Factor of 8 and 16 is 8.

### What are 3 common multiples of 16? ›

The multiples of 16 are 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, etc.

What is 14 and 16 most common factor? ›

Solution: The GCF of 16 and 14 is 2.

Do 14 and 16 have common factors? ›

The GCF of 14 and 16 is 2. To calculate the greatest common factor of 14 and 16, we need to factor each number (factors of 14 = 1, 2, 7, 14; factors of 16 = 1, 2, 4, 8, 16) and choose the greatest factor that exactly divides both 14 and 16, i.e., 2.

What is the greatest common factor of 4 12 and 44? ›

GCF of 12 and 44 by Listing Common Factors

There are 3 common factors of 12 and 44, that are 1, 2, and 4. Therefore, the greatest common factor of 12 and 44 is 4.

Is the greatest common factor of 3 and 4? ›

The HCF of 3 and 4 is 1.

HCF stands for Highest Common Factor, and it is also known as GCF, Greatest Common Factor or GCD, Greatest Common Divisor. For the given set of numbers 3 and 4, there are no common factors other than 1. Hence 1 is the HCF for 3 and 4.

What is the greatest common factor 8 or 12? ›

The Highest Common Factor of 8 and 12 is 4. The numbers 1, 2, and 4 are the three common factors of 8 and 12. Therefore the Highest Common Factor of 8 and 12 is 4.

What is the GCF of 6 18 and 12? ›

The common factors of 12 and 18 are 1, 2, 3 and 6. The greatest common factor of them is 6.

What is the LCM of 8 12 16 and 18? ›

The least common multiple of 8, 12, 16 and 18 is 144.

What is the LCM of 12 16 and 18 by prime factorization method? ›

LCM of 12, 16, and 18 by Prime Factorization

LCM of 12, 16, and 18 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 24 × 32 = 144. Hence, the LCM of 12, 16, and 18 by prime factorization is 144.

What is the LCM of 8 and 12 and 16 and 24? ›

LCM of 8, 12 and 16 is 48. The smallest number among all common multiples of 8, 12, and 16 is the LCM of 8, 12, and 16. The first few multiples of 8, 12, and 16 are (8, 16, 24, 32, 40, etc. ), (12, 24, 36, 48, 60, etc.) and (16, 32, 48, 64, 80, etc.).

### What is the LCM of 6 8 12 18 24 by prime factorization? ›

The answer to this question is 72. The LCM of 6, 12, 18 and 24 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 6, 12, 18 and 24, is the smallest positive integer 72 which is divisible by both 6, 12, 18 and 24 with no remainder.

What is the LCM of 12 and 9 and 6 and 18? ›

∴ LCM (6, 9, 12, 18) = 36.

What is the LCM of 12 15 and 18 by factorization method? ›

Therefore, LCM of 12, 15, 18 is 180.

What is the LCM of 12 15 and 18? ›

LCM of 12, 15 and 18 is 180.

What is the LCM of 4 6 8 12 18 and 90? ›

The least common multiple of 4,6,8,12,18,90 is 360.

What is the least common multiple of 8 12 16 18 24? ›

The least common multiple of 8, 12, 16, 18 and 24 is 144.

What is the LCM of 24 12 8 and 18? ›

The lowest number that we see repeating is 72 , thus this is our LCM. Hope this helps!

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