What is the Greatest Common Factor of 37926 and 37938?

Greatest common factor (GCF) of 37926 and 37938 is 6.

GCF(37926,37938) = 6

We will now calculate the prime factors of 37926 and 37938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37926 and 37938.

How to find the GCF of 37926 and 37938?

We will first find the prime factorization of 37926 and 37938. After we will calculate the factors of 37926 and 37938 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 37938

Prime factors of 37938 are 2, 3, 6323. Prime factorization of 37938 in exponential form is:

37938 = 2¹ × 3¹ × 6323¹

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 37938

List of positive integer factors of 37938 that divides 37926 without a remainder.

1, 2, 3, 6, 6323, 12646, 18969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37926 and 37938. The biggest common factor number is the GCF number.
So the greatest common factor 37926 and 37938 is 6.

Also check out the Least Common Multiple of 37926 and 37938