What is the Greatest Common Factor of 91664 and 91668?

Greatest common factor (GCF) of 91664 and 91668 is 4.

GCF(91664,91668) = 4

We will now calculate the prime factors of 91664 and 91668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91664 and 91668.

How to find the GCF of 91664 and 91668?

We will first find the prime factorization of 91664 and 91668. After we will calculate the factors of 91664 and 91668 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91668

Prime factors of 91668 are 2, 3, 7639. Prime factorization of 91668 in exponential form is:

91668 = 2² × 3¹ × 7639¹

Step-3: Factors of 91664

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

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

Step-4: Factors of 91668

List of positive integer factors of 91668 that divides 91664 without a remainder.

1, 2, 3, 4, 6, 12, 7639, 15278, 22917, 30556, 45834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91664 and 91668. The biggest common factor number is the GCF number.
So the greatest common factor 91664 and 91668 is 4.

Also check out the Least Common Multiple of 91664 and 91668