What is the Greatest Common Factor of 64876 and 64896?

Greatest common factor (GCF) of 64876 and 64896 is 4.

GCF(64876,64896) = 4

We will now calculate the prime factors of 64876 and 64896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64876 and 64896.

How to find the GCF of 64876 and 64896?

We will first find the prime factorization of 64876 and 64896. After we will calculate the factors of 64876 and 64896 and find the biggest common factor number .

Step-1: Prime Factorization of 64876

Prime factors of 64876 are 2, 7, 331. Prime factorization of 64876 in exponential form is:

64876 = 2² × 7² × 331¹

Step-2: 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-3: Factors of 64876

List of positive integer factors of 64876 that divides 64876 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 331, 662, 1324, 2317, 4634, 9268, 16219, 32438

Step-4: Factors of 64896

List of positive integer factors of 64896 that divides 64876 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64876 and 64896. The biggest common factor number is the GCF number.
So the greatest common factor 64876 and 64896 is 4.

Also check out the Least Common Multiple of 64876 and 64896