What is the Greatest Common Factor of 86700 and 86718?

Greatest common factor (GCF) of 86700 and 86718 is 6.

GCF(86700,86718) = 6

We will now calculate the prime factors of 86700 and 86718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86700 and 86718.

How to find the GCF of 86700 and 86718?

We will first find the prime factorization of 86700 and 86718. After we will calculate the factors of 86700 and 86718 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 86718

Prime factors of 86718 are 2, 3, 97, 149. Prime factorization of 86718 in exponential form is:

86718 = 2¹ × 3¹ × 97¹ × 149¹

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 86718

List of positive integer factors of 86718 that divides 86700 without a remainder.

1, 2, 3, 6, 97, 149, 194, 291, 298, 447, 582, 894, 14453, 28906, 43359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86700 and 86718. The biggest common factor number is the GCF number.
So the greatest common factor 86700 and 86718 is 6.

Also check out the Least Common Multiple of 86700 and 86718