What is the Greatest Common Factor of 57564 and 57576?

Greatest common factor (GCF) of 57564 and 57576 is 12.

GCF(57564,57576) = 12

We will now calculate the prime factors of 57564 and 57576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57564 and 57576.

How to find the GCF of 57564 and 57576?

We will first find the prime factorization of 57564 and 57576. After we will calculate the factors of 57564 and 57576 and find the biggest common factor number .

Step-1: Prime Factorization of 57564

Prime factors of 57564 are 2, 3, 13, 41. Prime factorization of 57564 in exponential form is:

57564 = 2² × 3³ × 13¹ × 41¹

Step-2: Prime Factorization of 57576

Prime factors of 57576 are 2, 3, 2399. Prime factorization of 57576 in exponential form is:

57576 = 2³ × 3¹ × 2399¹

Step-3: Factors of 57564

List of positive integer factors of 57564 that divides 57564 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 41, 52, 54, 78, 82, 108, 117, 123, 156, 164, 234, 246, 351, 369, 468, 492, 533, 702, 738, 1066, 1107, 1404, 1476, 1599, 2132, 2214, 3198, 4428, 4797, 6396, 9594, 14391, 19188, 28782

Step-4: Factors of 57576

List of positive integer factors of 57576 that divides 57564 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2399, 4798, 7197, 9596, 14394, 19192, 28788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57564 and 57576. The biggest common factor number is the GCF number.
So the greatest common factor 57564 and 57576 is 12.

Also check out the Least Common Multiple of 57564 and 57576