What is the Greatest Common Factor of 37926 and 37941?

Greatest common factor (GCF) of 37926 and 37941 is 3.

GCF(37926,37941) = 3

We will now calculate the prime factors of 37926 and 37941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37926 and 37941.

How to find the GCF of 37926 and 37941?

We will first find the prime factorization of 37926 and 37941. After we will calculate the factors of 37926 and 37941 and find the biggest common factor number .

Step-1: Prime Factorization of 37926

Prime factors of 37926 are 2, 3, 7, 43. Prime factorization of 37926 in exponential form is:

37926 = 2¹ × 3² × 7² × 43¹

Step-2: Prime Factorization of 37941

Prime factors of 37941 are 3, 12647. Prime factorization of 37941 in exponential form is:

37941 = 3¹ × 12647¹

Step-3: Factors of 37926

List of positive integer factors of 37926 that divides 37926 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 49, 63, 86, 98, 126, 129, 147, 258, 294, 301, 387, 441, 602, 774, 882, 903, 1806, 2107, 2709, 4214, 5418, 6321, 12642, 18963

Step-4: Factors of 37941

List of positive integer factors of 37941 that divides 37926 without a remainder.

1, 3, 12647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37926 and 37941. The biggest common factor number is the GCF number.
So the greatest common factor 37926 and 37941 is 3.

Also check out the Least Common Multiple of 37926 and 37941