What is the Greatest Common Factor of 57252 and 57264?

Greatest common factor (GCF) of 57252 and 57264 is 12.

GCF(57252,57264) = 12

We will now calculate the prime factors of 57252 and 57264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57252 and 57264.

How to find the GCF of 57252 and 57264?

We will first find the prime factorization of 57252 and 57264. After we will calculate the factors of 57252 and 57264 and find the biggest common factor number .

Step-1: Prime Factorization of 57252

Prime factors of 57252 are 2, 3, 13, 367. Prime factorization of 57252 in exponential form is:

57252 = 2² × 3¹ × 13¹ × 367¹

Step-2: Prime Factorization of 57264

Prime factors of 57264 are 2, 3, 1193. Prime factorization of 57264 in exponential form is:

57264 = 2⁴ × 3¹ × 1193¹

Step-3: Factors of 57252

List of positive integer factors of 57252 that divides 57252 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 367, 734, 1101, 1468, 2202, 4404, 4771, 9542, 14313, 19084, 28626

Step-4: Factors of 57264

List of positive integer factors of 57264 that divides 57252 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1193, 2386, 3579, 4772, 7158, 9544, 14316, 19088, 28632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57252 and 57264. The biggest common factor number is the GCF number.
So the greatest common factor 57252 and 57264 is 12.

Also check out the Least Common Multiple of 57252 and 57264