What is the Greatest Common Factor of 86682 and 86700?

Greatest common factor (GCF) of 86682 and 86700 is 6.

GCF(86682,86700) = 6

We will now calculate the prime factors of 86682 and 86700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86682 and 86700.

How to find the GCF of 86682 and 86700?

We will first find the prime factorization of 86682 and 86700. After we will calculate the factors of 86682 and 86700 and find the biggest common factor number .

Step-1: Prime Factorization of 86682

Prime factors of 86682 are 2, 3, 14447. Prime factorization of 86682 in exponential form is:

86682 = 2¹ × 3¹ × 14447¹

Step-2: 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-3: Factors of 86682

List of positive integer factors of 86682 that divides 86682 without a remainder.

1, 2, 3, 6, 14447, 28894, 43341

Step-4: Factors of 86700

List of positive integer factors of 86700 that divides 86682 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86682 and 86700. The biggest common factor number is the GCF number.
So the greatest common factor 86682 and 86700 is 6.

Also check out the Least Common Multiple of 86682 and 86700