What is the Greatest Common Factor of 93664 and 93671?

Greatest common factor (GCF) of 93664 and 93671 is 1.

GCF(93664,93671) = 1

We will now calculate the prime factors of 93664 and 93671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93664 and 93671.

How to find the GCF of 93664 and 93671?

We will first find the prime factorization of 93664 and 93671. After we will calculate the factors of 93664 and 93671 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 93671

Prime factors of 93671 are 47, 1993. Prime factorization of 93671 in exponential form is:

93671 = 47¹ × 1993¹

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 93671

List of positive integer factors of 93671 that divides 93664 without a remainder.

1, 47, 1993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93664 and 93671. The biggest common factor number is the GCF number.
So the greatest common factor 93664 and 93671 is 1.

Also check out the Least Common Multiple of 93664 and 93671