What is the Greatest Common Factor of 84864 and 84878?

Greatest common factor (GCF) of 84864 and 84878 is 2.

GCF(84864,84878) = 2

We will now calculate the prime factors of 84864 and 84878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84864 and 84878.

How to find the GCF of 84864 and 84878?

We will first find the prime factorization of 84864 and 84878. After we will calculate the factors of 84864 and 84878 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 84878

Prime factors of 84878 are 2, 31, 37. Prime factorization of 84878 in exponential form is:

84878 = 2¹ × 31¹ × 37²

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 84878

List of positive integer factors of 84878 that divides 84864 without a remainder.

1, 2, 31, 37, 62, 74, 1147, 1369, 2294, 2738, 42439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84864 and 84878. The biggest common factor number is the GCF number.
So the greatest common factor 84864 and 84878 is 2.

Also check out the Least Common Multiple of 84864 and 84878