What is the Greatest Common Factor of 37919 and 37926?

Greatest common factor (GCF) of 37919 and 37926 is 7.

GCF(37919,37926) = 7

We will now calculate the prime factors of 37919 and 37926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37919 and 37926.

How to find the GCF of 37919 and 37926?

We will first find the prime factorization of 37919 and 37926. After we will calculate the factors of 37919 and 37926 and find the biggest common factor number .

Step-1: Prime Factorization of 37919

Prime factors of 37919 are 7, 5417. Prime factorization of 37919 in exponential form is:

37919 = 7¹ × 5417¹

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 37919

List of positive integer factors of 37919 that divides 37919 without a remainder.

1, 7, 5417

Step-4: Factors of 37926

List of positive integer factors of 37926 that divides 37919 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 37919 and 37926. The biggest common factor number is the GCF number.
So the greatest common factor 37919 and 37926 is 7.

Also check out the Least Common Multiple of 37919 and 37926