What is the Greatest Common Factor of 91776 and 91788?

Greatest common factor (GCF) of 91776 and 91788 is 12.

GCF(91776,91788) = 12

We will now calculate the prime factors of 91776 and 91788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91776 and 91788.

How to find the GCF of 91776 and 91788?

We will first find the prime factorization of 91776 and 91788. After we will calculate the factors of 91776 and 91788 and find the biggest common factor number .

Step-1: Prime Factorization of 91776

Prime factors of 91776 are 2, 3, 239. Prime factorization of 91776 in exponential form is:

91776 = 2⁷ × 3¹ × 239¹

Step-2: 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-3: Factors of 91776

List of positive integer factors of 91776 that divides 91776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 239, 384, 478, 717, 956, 1434, 1912, 2868, 3824, 5736, 7648, 11472, 15296, 22944, 30592, 45888

Step-4: Factors of 91788

List of positive integer factors of 91788 that divides 91776 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91776 and 91788. The biggest common factor number is the GCF number.
So the greatest common factor 91776 and 91788 is 12.

Also check out the Least Common Multiple of 91776 and 91788