What is the Greatest Common Factor of 64912 and 64928?

Greatest common factor (GCF) of 64912 and 64928 is 16.

GCF(64912,64928) = 16

We will now calculate the prime factors of 64912 and 64928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64912 and 64928.

How to find the GCF of 64912 and 64928?

We will first find the prime factorization of 64912 and 64928. After we will calculate the factors of 64912 and 64928 and find the biggest common factor number .

Step-1: Prime Factorization of 64912

Prime factors of 64912 are 2, 4057. Prime factorization of 64912 in exponential form is:

64912 = 2⁴ × 4057¹

Step-2: Prime Factorization of 64928

Prime factors of 64928 are 2, 2029. Prime factorization of 64928 in exponential form is:

64928 = 2⁵ × 2029¹

Step-3: Factors of 64912

List of positive integer factors of 64912 that divides 64912 without a remainder.

1, 2, 4, 8, 16, 4057, 8114, 16228, 32456

Step-4: Factors of 64928

List of positive integer factors of 64928 that divides 64912 without a remainder.

1, 2, 4, 8, 16, 32, 2029, 4058, 8116, 16232, 32464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64912 and 64928. The biggest common factor number is the GCF number.
So the greatest common factor 64912 and 64928 is 16.

Also check out the Least Common Multiple of 64912 and 64928