What is the Greatest Common Factor of 93675 and 93687?

Greatest common factor (GCF) of 93675 and 93687 is 3.

GCF(93675,93687) = 3

We will now calculate the prime factors of 93675 and 93687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93675 and 93687.

How to find the GCF of 93675 and 93687?

We will first find the prime factorization of 93675 and 93687. After we will calculate the factors of 93675 and 93687 and find the biggest common factor number .

Step-1: Prime Factorization of 93675

Prime factors of 93675 are 3, 5, 1249. Prime factorization of 93675 in exponential form is:

93675 = 3¹ × 5² × 1249¹

Step-2: Prime Factorization of 93687

Prime factors of 93687 are 3, 11, 17, 167. Prime factorization of 93687 in exponential form is:

93687 = 3¹ × 11¹ × 17¹ × 167¹

Step-3: Factors of 93675

List of positive integer factors of 93675 that divides 93675 without a remainder.

1, 3, 5, 15, 25, 75, 1249, 3747, 6245, 18735, 31225

Step-4: Factors of 93687

List of positive integer factors of 93687 that divides 93675 without a remainder.

1, 3, 11, 17, 33, 51, 167, 187, 501, 561, 1837, 2839, 5511, 8517, 31229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93675 and 93687. The biggest common factor number is the GCF number.
So the greatest common factor 93675 and 93687 is 3.

Also check out the Least Common Multiple of 93675 and 93687