What is the Greatest Common Factor of 37908 and 37928?

Greatest common factor (GCF) of 37908 and 37928 is 4.

GCF(37908,37928) = 4

We will now calculate the prime factors of 37908 and 37928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37908 and 37928.

How to find the GCF of 37908 and 37928?

We will first find the prime factorization of 37908 and 37928. After we will calculate the factors of 37908 and 37928 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37928

Prime factors of 37928 are 2, 11, 431. Prime factorization of 37928 in exponential form is:

37928 = 2³ × 11¹ × 431¹

Step-3: Factors of 37908

List of positive integer factors of 37908 that divides 37908 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

Step-4: Factors of 37928

List of positive integer factors of 37928 that divides 37908 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 431, 862, 1724, 3448, 4741, 9482, 18964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37908 and 37928. The biggest common factor number is the GCF number.
So the greatest common factor 37908 and 37928 is 4.

Also check out the Least Common Multiple of 37908 and 37928