What is the Greatest Common Factor of 64896 and 64909?

Greatest common factor (GCF) of 64896 and 64909 is 13.

GCF(64896,64909) = 13

We will now calculate the prime factors of 64896 and 64909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64896 and 64909.

How to find the GCF of 64896 and 64909?

We will first find the prime factorization of 64896 and 64909. After we will calculate the factors of 64896 and 64909 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 64909

Prime factors of 64909 are 13, 4993. Prime factorization of 64909 in exponential form is:

64909 = 13¹ × 4993¹

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 64909

List of positive integer factors of 64909 that divides 64896 without a remainder.

1, 13, 4993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64896 and 64909. The biggest common factor number is the GCF number.
So the greatest common factor 64896 and 64909 is 13.

Also check out the Least Common Multiple of 64896 and 64909