What is the Greatest Common Factor of 54564 and 54576?

Greatest common factor (GCF) of 54564 and 54576 is 12.

GCF(54564,54576) = 12

We will now calculate the prime factors of 54564 and 54576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54564 and 54576.

How to find the GCF of 54564 and 54576?

We will first find the prime factorization of 54564 and 54576. After we will calculate the factors of 54564 and 54576 and find the biggest common factor number .

Step-1: Prime Factorization of 54564

Prime factors of 54564 are 2, 3, 4547. Prime factorization of 54564 in exponential form is:

54564 = 2² × 3¹ × 4547¹

Step-2: Prime Factorization of 54576

Prime factors of 54576 are 2, 3, 379. Prime factorization of 54576 in exponential form is:

54576 = 2⁴ × 3² × 379¹

Step-3: Factors of 54564

List of positive integer factors of 54564 that divides 54564 without a remainder.

1, 2, 3, 4, 6, 12, 4547, 9094, 13641, 18188, 27282

Step-4: Factors of 54576

List of positive integer factors of 54576 that divides 54564 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 379, 758, 1137, 1516, 2274, 3032, 3411, 4548, 6064, 6822, 9096, 13644, 18192, 27288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54564 and 54576. The biggest common factor number is the GCF number.
So the greatest common factor 54564 and 54576 is 12.

Also check out the Least Common Multiple of 54564 and 54576