What is the Greatest Common Factor of 86700 and 86712?

Greatest common factor (GCF) of 86700 and 86712 is 12.

GCF(86700,86712) = 12

We will now calculate the prime factors of 86700 and 86712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86700 and 86712.

How to find the GCF of 86700 and 86712?

We will first find the prime factorization of 86700 and 86712. After we will calculate the factors of 86700 and 86712 and find the biggest common factor number .

Step-1: Prime Factorization of 86700

Prime factors of 86700 are 2, 3, 5, 17. Prime factorization of 86700 in exponential form is:

86700 = 2² × 3¹ × 5² × 17²

Step-2: 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-3: Factors of 86700

List of positive integer factors of 86700 that divides 86700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 289, 300, 340, 425, 510, 578, 850, 867, 1020, 1156, 1275, 1445, 1700, 1734, 2550, 2890, 3468, 4335, 5100, 5780, 7225, 8670, 14450, 17340, 21675, 28900, 43350

Step-4: Factors of 86712

List of positive integer factors of 86712 that divides 86700 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86700 and 86712. The biggest common factor number is the GCF number.
So the greatest common factor 86700 and 86712 is 12.

Also check out the Least Common Multiple of 86700 and 86712