What is the Greatest Common Factor of 93688 and 93695?

Greatest common factor (GCF) of 93688 and 93695 is 7.

GCF(93688,93695) = 7

We will now calculate the prime factors of 93688 and 93695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93688 and 93695.

How to find the GCF of 93688 and 93695?

We will first find the prime factorization of 93688 and 93695. After we will calculate the factors of 93688 and 93695 and find the biggest common factor number .

Step-1: Prime Factorization of 93688

Prime factors of 93688 are 2, 7, 239. Prime factorization of 93688 in exponential form is:

93688 = 2³ × 7² × 239¹

Step-2: Prime Factorization of 93695

Prime factors of 93695 are 5, 7, 2677. Prime factorization of 93695 in exponential form is:

93695 = 5¹ × 7¹ × 2677¹

Step-3: Factors of 93688

List of positive integer factors of 93688 that divides 93688 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 239, 392, 478, 956, 1673, 1912, 3346, 6692, 11711, 13384, 23422, 46844

Step-4: Factors of 93695

List of positive integer factors of 93695 that divides 93688 without a remainder.

1, 5, 7, 35, 2677, 13385, 18739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93688 and 93695. The biggest common factor number is the GCF number.
So the greatest common factor 93688 and 93695 is 7.

Also check out the Least Common Multiple of 93688 and 93695