What is the Greatest Common Factor of 91773 and 91788?

Greatest common factor (GCF) of 91773 and 91788 is 3.

GCF(91773,91788) = 3

We will now calculate the prime factors of 91773 and 91788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91773 and 91788.

How to find the GCF of 91773 and 91788?

We will first find the prime factorization of 91773 and 91788. After we will calculate the factors of 91773 and 91788 and find the biggest common factor number .

Step-1: Prime Factorization of 91773

Prime factors of 91773 are 3, 11, 103. Prime factorization of 91773 in exponential form is:

91773 = 3⁴ × 11¹ × 103¹

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 91773

List of positive integer factors of 91773 that divides 91773 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 103, 297, 309, 891, 927, 1133, 2781, 3399, 8343, 10197, 30591

Step-4: Factors of 91788

List of positive integer factors of 91788 that divides 91773 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 91773 and 91788. The biggest common factor number is the GCF number.
So the greatest common factor 91773 and 91788 is 3.

Also check out the Least Common Multiple of 91773 and 91788