What is the Greatest Common Factor of 86672 and 86676?

Greatest common factor (GCF) of 86672 and 86676 is 4.

GCF(86672,86676) = 4

We will now calculate the prime factors of 86672 and 86676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86672 and 86676.

How to find the GCF of 86672 and 86676?

We will first find the prime factorization of 86672 and 86676. After we will calculate the factors of 86672 and 86676 and find the biggest common factor number .

Step-1: Prime Factorization of 86672

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

86672 = 2⁴ × 5417¹

Step-2: Prime Factorization of 86676

Prime factors of 86676 are 2, 3, 31, 233. Prime factorization of 86676 in exponential form is:

86676 = 2² × 3¹ × 31¹ × 233¹

Step-3: Factors of 86672

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

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

Step-4: Factors of 86676

List of positive integer factors of 86676 that divides 86672 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 233, 372, 466, 699, 932, 1398, 2796, 7223, 14446, 21669, 28892, 43338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86672 and 86676. The biggest common factor number is the GCF number.
So the greatest common factor 86672 and 86676 is 4.

Also check out the Least Common Multiple of 86672 and 86676