What is the Greatest Common Factor of 64896 and 64912?

Greatest common factor (GCF) of 64896 and 64912 is 16.

GCF(64896,64912) = 16

We will now calculate the prime factors of 64896 and 64912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64896 and 64912.

How to find the GCF of 64896 and 64912?

We will first find the prime factorization of 64896 and 64912. After we will calculate the factors of 64896 and 64912 and find the biggest common factor number .

Step-1: Prime Factorization of 64896

Prime factors of 64896 are 2, 3, 13. Prime factorization of 64896 in exponential form is:

64896 = 2⁷ × 3¹ × 13²

Step-2: Prime Factorization of 64912

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

64912 = 2⁴ × 4057¹

Step-3: Factors of 64896

List of positive integer factors of 64896 that divides 64896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 169, 192, 208, 312, 338, 384, 416, 507, 624, 676, 832, 1014, 1248, 1352, 1664, 2028, 2496, 2704, 4056, 4992, 5408, 8112, 10816, 16224, 21632, 32448

Step-4: Factors of 64912

List of positive integer factors of 64912 that divides 64896 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64896 and 64912. The biggest common factor number is the GCF number.
So the greatest common factor 64896 and 64912 is 16.

Also check out the Least Common Multiple of 64896 and 64912