# Greatest Common Factor of 12 and 24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 12, 24 i.e. 12 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12 and 24 is 12.

GCF(12,24) = 12

## GCF of 12 and 24

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and ### GCF of 12 and 24 is 12

Prime Factorization of 12

 2 12 2 6 3 3 1

Prime factors of 12 are 2,3. Prime factorization of 12 in exponential form is:

12 = 22×31

Prime Factorization of 24

 2 24 2 12 2 6 3 3 1

Prime factors of 24 are 2,3. Prime factorization of 24 in exponential form is:

24 = 23×31

∴ So by taking common prime factors GCF of 12 and 24 is 12

### Greatest Common Factor of 12 and 24 by matching factors method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Greatest Common Factor

We found the factors and prime factorization of 12 and 24. The biggest common factor number is the GCF number.
So the greatest common factor 12 and 24 is 12.

Also check out the Least Common Multiple of 12 and 24

### Properties of GCF 12 and 24

(i) The GCF of 12 and 24 is associative

GCF of 12 and 24 = GCF of 24 and 12

### Frequently Asked Questions on GCF of 12 and 24

1. What is the GCF of 12 and 24?

Answer: GCF of 12 and 24 is 12.

2. What are the Factors of 12?

Answer: Factors of 12 are 1, 2, 3, 4, 6, 12. There are 6 integers that are factors of 12. The greatest factor of 12 is 12.

3. What are the Factors of 24?

Answer: Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. There are 8 integers that are factors of 24. The greatest factor of 24 is 24.

4. How to Find the GCF of 12 and 24?

Greatest Common Factor of 12 and 24 = 12

Step 1: Find the prime factorization of 12

12 = 2 x 2 x 3

Step 2: Find the prime factorization of 24

24 = 2 x 2 x 2 x 3

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 3 = 12

Step 4: Therefore, the greatest common factor of 12 and 24 is 12
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