What is the Greatest Common Factor of 64516 and 64528?

Greatest common factor (GCF) of 64516 and 64528 is 4.

GCF(64516,64528) = 4

We will now calculate the prime factors of 64516 and 64528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64516 and 64528.

How to find the GCF of 64516 and 64528?

We will first find the prime factorization of 64516 and 64528. After we will calculate the factors of 64516 and 64528 and find the biggest common factor number .

Step-1: Prime Factorization of 64516

Prime factors of 64516 are 2, 127. Prime factorization of 64516 in exponential form is:

64516 = 2² × 127²

Step-2: Prime Factorization of 64528

Prime factors of 64528 are 2, 37, 109. Prime factorization of 64528 in exponential form is:

64528 = 2⁴ × 37¹ × 109¹

Step-3: Factors of 64516

List of positive integer factors of 64516 that divides 64516 without a remainder.

1, 2, 4, 127, 254, 508, 16129, 32258

Step-4: Factors of 64528

List of positive integer factors of 64528 that divides 64516 without a remainder.

1, 2, 4, 8, 16, 37, 74, 109, 148, 218, 296, 436, 592, 872, 1744, 4033, 8066, 16132, 32264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64516 and 64528. The biggest common factor number is the GCF number.
So the greatest common factor 64516 and 64528 is 4.

Also check out the Least Common Multiple of 64516 and 64528