What is the Greatest Common Factor of 86964 and 86976?

Greatest common factor (GCF) of 86964 and 86976 is 12.

GCF(86964,86976) = 12

We will now calculate the prime factors of 86964 and 86976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86964 and 86976.

How to find the GCF of 86964 and 86976?

We will first find the prime factorization of 86964 and 86976. After we will calculate the factors of 86964 and 86976 and find the biggest common factor number .

Step-1: Prime Factorization of 86964

Prime factors of 86964 are 2, 3, 7247. Prime factorization of 86964 in exponential form is:

86964 = 2² × 3¹ × 7247¹

Step-2: 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-3: Factors of 86964

List of positive integer factors of 86964 that divides 86964 without a remainder.

1, 2, 3, 4, 6, 12, 7247, 14494, 21741, 28988, 43482

Step-4: Factors of 86976

List of positive integer factors of 86976 that divides 86964 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86964 and 86976. The biggest common factor number is the GCF number.
So the greatest common factor 86964 and 86976 is 12.

Also check out the Least Common Multiple of 86964 and 86976