What is the Greatest Common Factor of 93664 and 93684?

Greatest common factor (GCF) of 93664 and 93684 is 4.

GCF(93664,93684) = 4

We will now calculate the prime factors of 93664 and 93684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93664 and 93684.

How to find the GCF of 93664 and 93684?

We will first find the prime factorization of 93664 and 93684. After we will calculate the factors of 93664 and 93684 and find the biggest common factor number .

Step-1: Prime Factorization of 93664

Prime factors of 93664 are 2, 2927. Prime factorization of 93664 in exponential form is:

93664 = 2⁵ × 2927¹

Step-2: Prime Factorization of 93684

Prime factors of 93684 are 2, 3, 37, 211. Prime factorization of 93684 in exponential form is:

93684 = 2² × 3¹ × 37¹ × 211¹

Step-3: Factors of 93664

List of positive integer factors of 93664 that divides 93664 without a remainder.

1, 2, 4, 8, 16, 32, 2927, 5854, 11708, 23416, 46832

Step-4: Factors of 93684

List of positive integer factors of 93684 that divides 93664 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 211, 222, 422, 444, 633, 844, 1266, 2532, 7807, 15614, 23421, 31228, 46842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93664 and 93684. The biggest common factor number is the GCF number.
So the greatest common factor 93664 and 93684 is 4.

Also check out the Least Common Multiple of 93664 and 93684