What is the Greatest Common Factor of 64572 and 64587?

Greatest common factor (GCF) of 64572 and 64587 is 3.

GCF(64572,64587) = 3

We will now calculate the prime factors of 64572 and 64587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64572 and 64587.

How to find the GCF of 64572 and 64587?

We will first find the prime factorization of 64572 and 64587. After we will calculate the factors of 64572 and 64587 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64587

Prime factors of 64587 are 3, 21529. Prime factorization of 64587 in exponential form is:

64587 = 3¹ × 21529¹

Step-3: Factors of 64572

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

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

Step-4: Factors of 64587

List of positive integer factors of 64587 that divides 64572 without a remainder.

1, 3, 21529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64572 and 64587. The biggest common factor number is the GCF number.
So the greatest common factor 64572 and 64587 is 3.

Also check out the Least Common Multiple of 64572 and 64587