What is the Greatest Common Factor of 57900 and 57916?

Greatest common factor (GCF) of 57900 and 57916 is 4.

GCF(57900,57916) = 4

We will now calculate the prime factors of 57900 and 57916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57900 and 57916.

How to find the GCF of 57900 and 57916?

We will first find the prime factorization of 57900 and 57916. After we will calculate the factors of 57900 and 57916 and find the biggest common factor number .

Step-1: Prime Factorization of 57900

Prime factors of 57900 are 2, 3, 5, 193. Prime factorization of 57900 in exponential form is:

57900 = 2² × 3¹ × 5² × 193¹

Step-2: Prime Factorization of 57916

Prime factors of 57916 are 2, 14479. Prime factorization of 57916 in exponential form is:

57916 = 2² × 14479¹

Step-3: Factors of 57900

List of positive integer factors of 57900 that divides 57900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 193, 300, 386, 579, 772, 965, 1158, 1930, 2316, 2895, 3860, 4825, 5790, 9650, 11580, 14475, 19300, 28950

Step-4: Factors of 57916

List of positive integer factors of 57916 that divides 57900 without a remainder.

1, 2, 4, 14479, 28958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57900 and 57916. The biggest common factor number is the GCF number.
So the greatest common factor 57900 and 57916 is 4.

Also check out the Least Common Multiple of 57900 and 57916