What is the Greatest Common Factor of 93687 and 93693?

Greatest common factor (GCF) of 93687 and 93693 is 3.

GCF(93687,93693) = 3

We will now calculate the prime factors of 93687 and 93693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93687 and 93693.

How to find the GCF of 93687 and 93693?

We will first find the prime factorization of 93687 and 93693. After we will calculate the factors of 93687 and 93693 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93693

Prime factors of 93693 are 3, 31231. Prime factorization of 93693 in exponential form is:

93693 = 3¹ × 31231¹

Step-3: Factors of 93687

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

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

Step-4: Factors of 93693

List of positive integer factors of 93693 that divides 93687 without a remainder.

1, 3, 31231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93687 and 93693. The biggest common factor number is the GCF number.
So the greatest common factor 93687 and 93693 is 3.

Also check out the Least Common Multiple of 93687 and 93693