What is the Greatest Common Factor of 64896 and 64902?

Greatest common factor (GCF) of 64896 and 64902 is 6.

GCF(64896,64902) = 6

We will now calculate the prime factors of 64896 and 64902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64896 and 64902.

How to find the GCF of 64896 and 64902?

We will first find the prime factorization of 64896 and 64902. After we will calculate the factors of 64896 and 64902 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 64902

Prime factors of 64902 are 2, 3, 29, 373. Prime factorization of 64902 in exponential form is:

64902 = 2¹ × 3¹ × 29¹ × 373¹

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 64902

List of positive integer factors of 64902 that divides 64896 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 373, 746, 1119, 2238, 10817, 21634, 32451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64896 and 64902. The biggest common factor number is the GCF number.
So the greatest common factor 64896 and 64902 is 6.

Also check out the Least Common Multiple of 64896 and 64902