What is the Greatest Common Factor of 86695 and 86710?

Greatest common factor (GCF) of 86695 and 86710 is 5.

GCF(86695,86710) = 5

We will now calculate the prime factors of 86695 and 86710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86695 and 86710.

How to find the GCF of 86695 and 86710?

We will first find the prime factorization of 86695 and 86710. After we will calculate the factors of 86695 and 86710 and find the biggest common factor number .

Step-1: Prime Factorization of 86695

Prime factors of 86695 are 5, 7, 2477. Prime factorization of 86695 in exponential form is:

86695 = 5¹ × 7¹ × 2477¹

Step-2: Prime Factorization of 86710

Prime factors of 86710 are 2, 5, 13, 23, 29. Prime factorization of 86710 in exponential form is:

86710 = 2¹ × 5¹ × 13¹ × 23¹ × 29¹

Step-3: Factors of 86695

List of positive integer factors of 86695 that divides 86695 without a remainder.

1, 5, 7, 35, 2477, 12385, 17339

Step-4: Factors of 86710

List of positive integer factors of 86710 that divides 86695 without a remainder.

1, 2, 5, 10, 13, 23, 26, 29, 46, 58, 65, 115, 130, 145, 230, 290, 299, 377, 598, 667, 754, 1334, 1495, 1885, 2990, 3335, 3770, 6670, 8671, 17342, 43355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86695 and 86710. The biggest common factor number is the GCF number.
So the greatest common factor 86695 and 86710 is 5.

Also check out the Least Common Multiple of 86695 and 86710