What is the Greatest Common Factor of 37921 and 37934?

Greatest common factor (GCF) of 37921 and 37934 is 13.

GCF(37921,37934) = 13

We will now calculate the prime factors of 37921 and 37934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37921 and 37934.

How to find the GCF of 37921 and 37934?

We will first find the prime factorization of 37921 and 37934. After we will calculate the factors of 37921 and 37934 and find the biggest common factor number .

Step-1: Prime Factorization of 37921

Prime factors of 37921 are 13, 2917. Prime factorization of 37921 in exponential form is:

37921 = 13¹ × 2917¹

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 37921

List of positive integer factors of 37921 that divides 37921 without a remainder.

1, 13, 2917

Step-4: Factors of 37934

List of positive integer factors of 37934 that divides 37921 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37921 and 37934. The biggest common factor number is the GCF number.
So the greatest common factor 37921 and 37934 is 13.

Also check out the Least Common Multiple of 37921 and 37934