What is the Greatest Common Factor of 84864 and 84877?

Greatest common factor (GCF) of 84864 and 84877 is 13.

GCF(84864,84877) = 13

We will now calculate the prime factors of 84864 and 84877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84864 and 84877.

How to find the GCF of 84864 and 84877?

We will first find the prime factorization of 84864 and 84877. After we will calculate the factors of 84864 and 84877 and find the biggest common factor number .

Step-1: Prime Factorization of 84864

Prime factors of 84864 are 2, 3, 13, 17. Prime factorization of 84864 in exponential form is:

84864 = 2⁷ × 3¹ × 13¹ × 17¹

Step-2: Prime Factorization of 84877

Prime factors of 84877 are 13, 6529. Prime factorization of 84877 in exponential form is:

84877 = 13¹ × 6529¹

Step-3: Factors of 84864

List of positive integer factors of 84864 that divides 84864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 17, 24, 26, 32, 34, 39, 48, 51, 52, 64, 68, 78, 96, 102, 104, 128, 136, 156, 192, 204, 208, 221, 272, 312, 384, 408, 416, 442, 544, 624, 663, 816, 832, 884, 1088, 1248, 1326, 1632, 1664, 1768, 2176, 2496, 2652, 3264, 3536, 4992, 5304, 6528, 7072, 10608, 14144, 21216, 28288, 42432

Step-4: Factors of 84877

List of positive integer factors of 84877 that divides 84864 without a remainder.

1, 13, 6529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84864 and 84877. The biggest common factor number is the GCF number.
So the greatest common factor 84864 and 84877 is 13.

Also check out the Least Common Multiple of 84864 and 84877