What is the Greatest Common Factor of 93680 and 93688?

Greatest common factor (GCF) of 93680 and 93688 is 8.

GCF(93680,93688) = 8

We will now calculate the prime factors of 93680 and 93688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93680 and 93688.

How to find the GCF of 93680 and 93688?

We will first find the prime factorization of 93680 and 93688. After we will calculate the factors of 93680 and 93688 and find the biggest common factor number .

Step-1: Prime Factorization of 93680

Prime factors of 93680 are 2, 5, 1171. Prime factorization of 93680 in exponential form is:

93680 = 2⁴ × 5¹ × 1171¹

Step-2: 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-3: Factors of 93680

List of positive integer factors of 93680 that divides 93680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1171, 2342, 4684, 5855, 9368, 11710, 18736, 23420, 46840

Step-4: Factors of 93688

List of positive integer factors of 93688 that divides 93680 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93680 and 93688. The biggest common factor number is the GCF number.
So the greatest common factor 93680 and 93688 is 8.

Also check out the Least Common Multiple of 93680 and 93688