What is the Greatest Common Factor of 91647 and 91664?

Greatest common factor (GCF) of 91647 and 91664 is 17.

GCF(91647,91664) = 17

We will now calculate the prime factors of 91647 and 91664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91647 and 91664.

How to find the GCF of 91647 and 91664?

We will first find the prime factorization of 91647 and 91664. After we will calculate the factors of 91647 and 91664 and find the biggest common factor number .

Step-1: Prime Factorization of 91647

Prime factors of 91647 are 3, 17, 599. Prime factorization of 91647 in exponential form is:

91647 = 3² × 17¹ × 599¹

Step-2: Prime Factorization of 91664

Prime factors of 91664 are 2, 17, 337. Prime factorization of 91664 in exponential form is:

91664 = 2⁴ × 17¹ × 337¹

Step-3: Factors of 91647

List of positive integer factors of 91647 that divides 91647 without a remainder.

1, 3, 9, 17, 51, 153, 599, 1797, 5391, 10183, 30549

Step-4: Factors of 91664

List of positive integer factors of 91664 that divides 91647 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 337, 674, 1348, 2696, 5392, 5729, 11458, 22916, 45832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91647 and 91664. The biggest common factor number is the GCF number.
So the greatest common factor 91647 and 91664 is 17.

Also check out the Least Common Multiple of 91647 and 91664