What is the Greatest Common Factor of 37908 and 37912?

Greatest common factor (GCF) of 37908 and 37912 is 4.

GCF(37908,37912) = 4

We will now calculate the prime factors of 37908 and 37912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37908 and 37912.

How to find the GCF of 37908 and 37912?

We will first find the prime factorization of 37908 and 37912. After we will calculate the factors of 37908 and 37912 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 37912

Prime factors of 37912 are 2, 7, 677. Prime factorization of 37912 in exponential form is:

37912 = 2³ × 7¹ × 677¹

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 37912

List of positive integer factors of 37912 that divides 37908 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 677, 1354, 2708, 4739, 5416, 9478, 18956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37908 and 37912. The biggest common factor number is the GCF number.
So the greatest common factor 37908 and 37912 is 4.

Also check out the Least Common Multiple of 37908 and 37912