What is the Greatest Common Factor of 86976 and 86992?

Greatest common factor (GCF) of 86976 and 86992 is 16.

GCF(86976,86992) = 16

We will now calculate the prime factors of 86976 and 86992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86976 and 86992.

How to find the GCF of 86976 and 86992?

We will first find the prime factorization of 86976 and 86992. After we will calculate the factors of 86976 and 86992 and find the biggest common factor number .

Step-1: Prime Factorization of 86976

Prime factors of 86976 are 2, 3, 151. Prime factorization of 86976 in exponential form is:

86976 = 2⁶ × 3² × 151¹

Step-2: Prime Factorization of 86992

Prime factors of 86992 are 2, 5437. Prime factorization of 86992 in exponential form is:

86992 = 2⁴ × 5437¹

Step-3: Factors of 86976

List of positive integer factors of 86976 that divides 86976 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 151, 192, 288, 302, 453, 576, 604, 906, 1208, 1359, 1812, 2416, 2718, 3624, 4832, 5436, 7248, 9664, 10872, 14496, 21744, 28992, 43488

Step-4: Factors of 86992

List of positive integer factors of 86992 that divides 86976 without a remainder.

1, 2, 4, 8, 16, 5437, 10874, 21748, 43496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86976 and 86992. The biggest common factor number is the GCF number.
So the greatest common factor 86976 and 86992 is 16.

Also check out the Least Common Multiple of 86976 and 86992