What is the Greatest Common Factor of 91788 and 91808?

Greatest common factor (GCF) of 91788 and 91808 is 4.

GCF(91788,91808) = 4

We will now calculate the prime factors of 91788 and 91808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91788 and 91808.

How to find the GCF of 91788 and 91808?

We will first find the prime factorization of 91788 and 91808. After we will calculate the factors of 91788 and 91808 and find the biggest common factor number .

Step-1: Prime Factorization of 91788

Prime factors of 91788 are 2, 3, 7649. Prime factorization of 91788 in exponential form is:

91788 = 2² × 3¹ × 7649¹

Step-2: Prime Factorization of 91808

Prime factors of 91808 are 2, 19, 151. Prime factorization of 91808 in exponential form is:

91808 = 2⁵ × 19¹ × 151¹

Step-3: Factors of 91788

List of positive integer factors of 91788 that divides 91788 without a remainder.

1, 2, 3, 4, 6, 12, 7649, 15298, 22947, 30596, 45894

Step-4: Factors of 91808

List of positive integer factors of 91808 that divides 91788 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 151, 152, 302, 304, 604, 608, 1208, 2416, 2869, 4832, 5738, 11476, 22952, 45904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91788 and 91808. The biggest common factor number is the GCF number.
So the greatest common factor 91788 and 91808 is 4.

Also check out the Least Common Multiple of 91788 and 91808