What is the Greatest Common Factor of 84864 and 84881?

Greatest common factor (GCF) of 84864 and 84881 is 17.

GCF(84864,84881) = 17

We will now calculate the prime factors of 84864 and 84881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84864 and 84881.

How to find the GCF of 84864 and 84881?

We will first find the prime factorization of 84864 and 84881. After we will calculate the factors of 84864 and 84881 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 84881

Prime factors of 84881 are 17, 4993. Prime factorization of 84881 in exponential form is:

84881 = 17¹ × 4993¹

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 84881

List of positive integer factors of 84881 that divides 84864 without a remainder.

1, 17, 4993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84864 and 84881. The biggest common factor number is the GCF number.
So the greatest common factor 84864 and 84881 is 17.

Also check out the Least Common Multiple of 84864 and 84881