What is the Greatest Common Factor of 94788 and 94792?

Greatest common factor (GCF) of 94788 and 94792 is 4.

GCF(94788,94792) = 4

We will now calculate the prime factors of 94788 and 94792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94788 and 94792.

How to find the GCF of 94788 and 94792?

We will first find the prime factorization of 94788 and 94792. After we will calculate the factors of 94788 and 94792 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94792

Prime factors of 94792 are 2, 17, 41. Prime factorization of 94792 in exponential form is:

94792 = 2³ × 17² × 41¹

Step-3: Factors of 94788

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

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

Step-4: Factors of 94792

List of positive integer factors of 94792 that divides 94788 without a remainder.

1, 2, 4, 8, 17, 34, 41, 68, 82, 136, 164, 289, 328, 578, 697, 1156, 1394, 2312, 2788, 5576, 11849, 23698, 47396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94788 and 94792. The biggest common factor number is the GCF number.
So the greatest common factor 94788 and 94792 is 4.

Also check out the Least Common Multiple of 94788 and 94792