What is the Greatest Common Factor of 54564 and 54580?

Greatest common factor (GCF) of 54564 and 54580 is 4.

GCF(54564,54580) = 4

We will now calculate the prime factors of 54564 and 54580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54564 and 54580.

How to find the GCF of 54564 and 54580?

We will first find the prime factorization of 54564 and 54580. After we will calculate the factors of 54564 and 54580 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 54580

Prime factors of 54580 are 2, 5, 2729. Prime factorization of 54580 in exponential form is:

54580 = 2² × 5¹ × 2729¹

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 54580

List of positive integer factors of 54580 that divides 54564 without a remainder.

1, 2, 4, 5, 10, 20, 2729, 5458, 10916, 13645, 27290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54564 and 54580. The biggest common factor number is the GCF number.
So the greatest common factor 54564 and 54580 is 4.

Also check out the Least Common Multiple of 54564 and 54580