What is the Greatest Common Factor of 64896 and 64900?

Greatest common factor (GCF) of 64896 and 64900 is 4.

GCF(64896,64900) = 4

We will now calculate the prime factors of 64896 and 64900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64896 and 64900.

How to find the GCF of 64896 and 64900?

We will first find the prime factorization of 64896 and 64900. After we will calculate the factors of 64896 and 64900 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 64900

Prime factors of 64900 are 2, 5, 11, 59. Prime factorization of 64900 in exponential form is:

64900 = 2² × 5² × 11¹ × 59¹

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 64900

List of positive integer factors of 64900 that divides 64896 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 59, 100, 110, 118, 220, 236, 275, 295, 550, 590, 649, 1100, 1180, 1298, 1475, 2596, 2950, 3245, 5900, 6490, 12980, 16225, 32450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64896 and 64900. The biggest common factor number is the GCF number.
So the greatest common factor 64896 and 64900 is 4.

Also check out the Least Common Multiple of 64896 and 64900