What is the Greatest Common Factor of 64560 and 64572?

Greatest common factor (GCF) of 64560 and 64572 is 12.

GCF(64560,64572) = 12

We will now calculate the prime factors of 64560 and 64572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64560 and 64572.

How to find the GCF of 64560 and 64572?

We will first find the prime factorization of 64560 and 64572. After we will calculate the factors of 64560 and 64572 and find the biggest common factor number .

Step-1: Prime Factorization of 64560

Prime factors of 64560 are 2, 3, 5, 269. Prime factorization of 64560 in exponential form is:

64560 = 2⁴ × 3¹ × 5¹ × 269¹

Step-2: Prime Factorization of 64572

Prime factors of 64572 are 2, 3, 5381. Prime factorization of 64572 in exponential form is:

64572 = 2² × 3¹ × 5381¹

Step-3: Factors of 64560

List of positive integer factors of 64560 that divides 64560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 269, 538, 807, 1076, 1345, 1614, 2152, 2690, 3228, 4035, 4304, 5380, 6456, 8070, 10760, 12912, 16140, 21520, 32280

Step-4: Factors of 64572

List of positive integer factors of 64572 that divides 64560 without a remainder.

1, 2, 3, 4, 6, 12, 5381, 10762, 16143, 21524, 32286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64560 and 64572. The biggest common factor number is the GCF number.
So the greatest common factor 64560 and 64572 is 12.

Also check out the Least Common Multiple of 64560 and 64572