What is the Greatest Common Factor of 86712 and 86721?

Greatest common factor (GCF) of 86712 and 86721 is 3.

GCF(86712,86721) = 3

We will now calculate the prime factors of 86712 and 86721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86712 and 86721.

How to find the GCF of 86712 and 86721?

We will first find the prime factorization of 86712 and 86721. After we will calculate the factors of 86712 and 86721 and find the biggest common factor number .

Step-1: Prime Factorization of 86712

Prime factors of 86712 are 2, 3, 3613. Prime factorization of 86712 in exponential form is:

86712 = 2³ × 3¹ × 3613¹

Step-2: Prime Factorization of 86721

Prime factors of 86721 are 3, 137, 211. Prime factorization of 86721 in exponential form is:

86721 = 3¹ × 137¹ × 211¹

Step-3: Factors of 86712

List of positive integer factors of 86712 that divides 86712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3613, 7226, 10839, 14452, 21678, 28904, 43356

Step-4: Factors of 86721

List of positive integer factors of 86721 that divides 86712 without a remainder.

1, 3, 137, 211, 411, 633, 28907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86712 and 86721. The biggest common factor number is the GCF number.
So the greatest common factor 86712 and 86721 is 3.

Also check out the Least Common Multiple of 86712 and 86721