What is the Greatest Common Factor of 84851 and 84864?

Greatest common factor (GCF) of 84851 and 84864 is 13.

GCF(84851,84864) = 13

We will now calculate the prime factors of 84851 and 84864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84851 and 84864.

How to find the GCF of 84851 and 84864?

We will first find the prime factorization of 84851 and 84864. After we will calculate the factors of 84851 and 84864 and find the biggest common factor number .

Step-1: Prime Factorization of 84851

Prime factors of 84851 are 13, 61, 107. Prime factorization of 84851 in exponential form is:

84851 = 13¹ × 61¹ × 107¹

Step-2: 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-3: Factors of 84851

List of positive integer factors of 84851 that divides 84851 without a remainder.

1, 13, 61, 107, 793, 1391, 6527

Step-4: Factors of 84864

List of positive integer factors of 84864 that divides 84851 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84851 and 84864. The biggest common factor number is the GCF number.
So the greatest common factor 84851 and 84864 is 13.

Also check out the Least Common Multiple of 84851 and 84864