What is the Greatest Common Factor of 93664 and 93677?

Greatest common factor (GCF) of 93664 and 93677 is 1.

GCF(93664,93677) = 1

We will now calculate the prime factors of 93664 and 93677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93664 and 93677.

How to find the GCF of 93664 and 93677?

We will first find the prime factorization of 93664 and 93677. After we will calculate the factors of 93664 and 93677 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 93677

Prime factors of 93677 are 113, 829. Prime factorization of 93677 in exponential form is:

93677 = 113¹ × 829¹

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 93677

List of positive integer factors of 93677 that divides 93664 without a remainder.

1, 113, 829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93664 and 93677. The biggest common factor number is the GCF number.
So the greatest common factor 93664 and 93677 is 1.

Also check out the Least Common Multiple of 93664 and 93677