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Greatest Common Factor of 24 and 36

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 24, 36 i.e. 12 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 24 and 36 is 12.

GCF(24,36) = 12

GCF of 24 and 36

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

GCF of:
and

Greatest Common Factor of 24 and 36 by Prime factorization method

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

Prime Factorization of 36


2 36
2 18
3 9
3 3
1

Prime factors of 36 are 2,3. Prime factorization of 36 in exponential form is:

36 = 22×32

∴ So by taking common prime factors GCF of 24 and 36 is 12

Greatest Common Factor of 24 and 36 by matching factors method

Factors of 24

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

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

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Greatest Common Factor

We found the factors and prime factorization of 24 and 36. The biggest common factor number is the GCF number.
So the greatest common factor 24 and 36 is 12.

Also check out the Least Common Multiple of 24 and 36

Properties of GCF 24 and 36

(i) The GCF of 24 and 36 is associative

GCF of 24 and 36 = GCF of 36 and 24

Frequently Asked Questions on GCF of 24 and 36

1. What is the GCF of 24 and 36?

Answer: GCF of 24 and 36 is 12.

2. 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.

3. What are the Factors of 36?

Answer: Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. There are 9 integers that are factors of 36. The greatest factor of 36 is 36.

4. How to Find the GCF of 24 and 36?

Answer:

Greatest Common Factor of 24 and 36 = 12

Step 1: Find the prime factorization of 24

24 = 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 36

36 = 2 x 2 x 3 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 24 and 36 is 12