What is the Greatest Common Factor of 94770 and 94788?

Greatest common factor (GCF) of 94770 and 94788 is 18.

GCF(94770,94788) = 18

We will now calculate the prime factors of 94770 and 94788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94770 and 94788.

How to find the GCF of 94770 and 94788?

We will first find the prime factorization of 94770 and 94788. After we will calculate the factors of 94770 and 94788 and find the biggest common factor number .

Step-1: Prime Factorization of 94770

Prime factors of 94770 are 2, 3, 5, 13. Prime factorization of 94770 in exponential form is:

94770 = 2¹ × 3⁶ × 5¹ × 13¹

Step-2: Prime Factorization of 94788

Prime factors of 94788 are 2, 3, 2633. Prime factorization of 94788 in exponential form is:

94788 = 2² × 3² × 2633¹

Step-3: Factors of 94770

List of positive integer factors of 94770 that divides 94770 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 81, 90, 117, 130, 135, 162, 195, 234, 243, 270, 351, 390, 405, 486, 585, 702, 729, 810, 1053, 1170, 1215, 1458, 1755, 2106, 2430, 3159, 3510, 3645, 5265, 6318, 7290, 9477, 10530, 15795, 18954, 31590, 47385

Step-4: Factors of 94788

List of positive integer factors of 94788 that divides 94770 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2633, 5266, 7899, 10532, 15798, 23697, 31596, 47394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94770 and 94788. The biggest common factor number is the GCF number.
So the greatest common factor 94770 and 94788 is 18.

Also check out the Least Common Multiple of 94770 and 94788