What is the Greatest Common Factor of 86640 and 86656?

Greatest common factor (GCF) of 86640 and 86656 is 16.

GCF(86640,86656) = 16

We will now calculate the prime factors of 86640 and 86656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86640 and 86656.

How to find the GCF of 86640 and 86656?

We will first find the prime factorization of 86640 and 86656. After we will calculate the factors of 86640 and 86656 and find the biggest common factor number .

Step-1: Prime Factorization of 86640

Prime factors of 86640 are 2, 3, 5, 19. Prime factorization of 86640 in exponential form is:

86640 = 2⁴ × 3¹ × 5¹ × 19²

Step-2: Prime Factorization of 86656

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

86656 = 2⁷ × 677¹

Step-3: Factors of 86640

List of positive integer factors of 86640 that divides 86640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 38, 40, 48, 57, 60, 76, 80, 95, 114, 120, 152, 190, 228, 240, 285, 304, 361, 380, 456, 570, 722, 760, 912, 1083, 1140, 1444, 1520, 1805, 2166, 2280, 2888, 3610, 4332, 4560, 5415, 5776, 7220, 8664, 10830, 14440, 17328, 21660, 28880, 43320

Step-4: Factors of 86656

List of positive integer factors of 86656 that divides 86640 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86640 and 86656. The biggest common factor number is the GCF number.
So the greatest common factor 86640 and 86656 is 16.

Also check out the Least Common Multiple of 86640 and 86656