What is the Greatest Common Factor of 54564 and 54570?

Greatest common factor (GCF) of 54564 and 54570 is 6.

GCF(54564,54570) = 6

We will now calculate the prime factors of 54564 and 54570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54564 and 54570.

How to find the GCF of 54564 and 54570?

We will first find the prime factorization of 54564 and 54570. After we will calculate the factors of 54564 and 54570 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 54570

Prime factors of 54570 are 2, 3, 5, 17, 107. Prime factorization of 54570 in exponential form is:

54570 = 2¹ × 3¹ × 5¹ × 17¹ × 107¹

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 54570

List of positive integer factors of 54570 that divides 54564 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 107, 170, 214, 255, 321, 510, 535, 642, 1070, 1605, 1819, 3210, 3638, 5457, 9095, 10914, 18190, 27285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54564 and 54570. The biggest common factor number is the GCF number.
So the greatest common factor 54564 and 54570 is 6.

Also check out the Least Common Multiple of 54564 and 54570