What is the Greatest Common Factor of 37912 and 37926?

Greatest common factor (GCF) of 37912 and 37926 is 14.

GCF(37912,37926) = 14

We will now calculate the prime factors of 37912 and 37926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37912 and 37926.

How to find the GCF of 37912 and 37926?

We will first find the prime factorization of 37912 and 37926. After we will calculate the factors of 37912 and 37926 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 37912

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

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

Step-4: Factors of 37926

List of positive integer factors of 37926 that divides 37912 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37912 and 37926. The biggest common factor number is the GCF number.
So the greatest common factor 37912 and 37926 is 14.

Also check out the Least Common Multiple of 37912 and 37926