What is the Greatest Common Factor of 91770 and 91788?

Greatest common factor (GCF) of 91770 and 91788 is 6.

GCF(91770,91788) = 6

We will now calculate the prime factors of 91770 and 91788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91770 and 91788.

How to find the GCF of 91770 and 91788?

We will first find the prime factorization of 91770 and 91788. After we will calculate the factors of 91770 and 91788 and find the biggest common factor number .

Step-1: Prime Factorization of 91770

Prime factors of 91770 are 2, 3, 5, 7, 19, 23. Prime factorization of 91770 in exponential form is:

91770 = 2¹ × 3¹ × 5¹ × 7¹ × 19¹ × 23¹

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 91770

List of positive integer factors of 91770 that divides 91770 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 23, 30, 35, 38, 42, 46, 57, 69, 70, 95, 105, 114, 115, 133, 138, 161, 190, 210, 230, 266, 285, 322, 345, 399, 437, 483, 570, 665, 690, 798, 805, 874, 966, 1311, 1330, 1610, 1995, 2185, 2415, 2622, 3059, 3990, 4370, 4830, 6118, 6555, 9177, 13110, 15295, 18354, 30590, 45885

Step-4: Factors of 91788

List of positive integer factors of 91788 that divides 91770 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 91770 and 91788. The biggest common factor number is the GCF number.
So the greatest common factor 91770 and 91788 is 6.

Also check out the Least Common Multiple of 91770 and 91788