What is the Greatest Common Factor of 37900 and 37908?

Greatest common factor (GCF) of 37900 and 37908 is 4.

GCF(37900,37908) = 4

We will now calculate the prime factors of 37900 and 37908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37900 and 37908.

How to find the GCF of 37900 and 37908?

We will first find the prime factorization of 37900 and 37908. After we will calculate the factors of 37900 and 37908 and find the biggest common factor number .

Step-1: Prime Factorization of 37900

Prime factors of 37900 are 2, 5, 379. Prime factorization of 37900 in exponential form is:

37900 = 2² × 5² × 379¹

Step-2: Prime Factorization of 37908

Prime factors of 37908 are 2, 3, 13. Prime factorization of 37908 in exponential form is:

37908 = 2² × 3⁶ × 13¹

Step-3: Factors of 37900

List of positive integer factors of 37900 that divides 37900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 379, 758, 1516, 1895, 3790, 7580, 9475, 18950

Step-4: Factors of 37908

List of positive integer factors of 37908 that divides 37900 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 243, 324, 351, 468, 486, 702, 729, 972, 1053, 1404, 1458, 2106, 2916, 3159, 4212, 6318, 9477, 12636, 18954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37900 and 37908. The biggest common factor number is the GCF number.
So the greatest common factor 37900 and 37908 is 4.

Also check out the Least Common Multiple of 37900 and 37908