What is the Greatest Common Factor of 22752 and 22764?

Greatest common factor (GCF) of 22752 and 22764 is 12.

GCF(22752,22764) = 12

We will now calculate the prime factors of 22752 and 22764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22752 and 22764.

How to find the GCF of 22752 and 22764?

We will first find the prime factorization of 22752 and 22764. After we will calculate the factors of 22752 and 22764 and find the biggest common factor number .

Step-1: Prime Factorization of 22752

Prime factors of 22752 are 2, 3, 79. Prime factorization of 22752 in exponential form is:

22752 = 2⁵ × 3² × 79¹

Step-2: Prime Factorization of 22764

Prime factors of 22764 are 2, 3, 7, 271. Prime factorization of 22764 in exponential form is:

22764 = 2² × 3¹ × 7¹ × 271¹

Step-3: Factors of 22752

List of positive integer factors of 22752 that divides 22752 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 79, 96, 144, 158, 237, 288, 316, 474, 632, 711, 948, 1264, 1422, 1896, 2528, 2844, 3792, 5688, 7584, 11376

Step-4: Factors of 22764

List of positive integer factors of 22764 that divides 22752 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 271, 542, 813, 1084, 1626, 1897, 3252, 3794, 5691, 7588, 11382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22752 and 22764. The biggest common factor number is the GCF number.
So the greatest common factor 22752 and 22764 is 12.

Also check out the Least Common Multiple of 22752 and 22764