What is the Greatest Common Factor of 37926 and 37934?

Greatest common factor (GCF) of 37926 and 37934 is 2.

GCF(37926,37934) = 2

We will now calculate the prime factors of 37926 and 37934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37926 and 37934.

How to find the GCF of 37926 and 37934?

We will first find the prime factorization of 37926 and 37934. After we will calculate the factors of 37926 and 37934 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 37934

Prime factors of 37934 are 2, 13, 1459. Prime factorization of 37934 in exponential form is:

37934 = 2¹ × 13¹ × 1459¹

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 37934

List of positive integer factors of 37934 that divides 37926 without a remainder.

1, 2, 13, 26, 1459, 2918, 18967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37926 and 37934. The biggest common factor number is the GCF number.
So the greatest common factor 37926 and 37934 is 2.

Also check out the Least Common Multiple of 37926 and 37934