What is the Greatest Common Factor of 86656 and 86672?

Greatest common factor (GCF) of 86656 and 86672 is 16.

GCF(86656,86672) = 16

We will now calculate the prime factors of 86656 and 86672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86656 and 86672.

How to find the GCF of 86656 and 86672?

We will first find the prime factorization of 86656 and 86672. After we will calculate the factors of 86656 and 86672 and find the biggest common factor number .

Step-1: Prime Factorization of 86656

Prime factors of 86656 are 2, 677. Prime factorization of 86656 in exponential form is:

86656 = 2⁷ × 677¹

Step-2: Prime Factorization of 86672

Prime factors of 86672 are 2, 5417. Prime factorization of 86672 in exponential form is:

86672 = 2⁴ × 5417¹

Step-3: Factors of 86656

List of positive integer factors of 86656 that divides 86656 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 677, 1354, 2708, 5416, 10832, 21664, 43328

Step-4: Factors of 86672

List of positive integer factors of 86672 that divides 86656 without a remainder.

1, 2, 4, 8, 16, 5417, 10834, 21668, 43336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86656 and 86672. The biggest common factor number is the GCF number.
So the greatest common factor 86656 and 86672 is 16.

Also check out the Least Common Multiple of 86656 and 86672