What is the Greatest Common Factor of 37074 and 37082?

Greatest common factor (GCF) of 37074 and 37082 is 2.

GCF(37074,37082) = 2

We will now calculate the prime factors of 37074 and 37082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37074 and 37082.

How to find the GCF of 37074 and 37082?

We will first find the prime factorization of 37074 and 37082. After we will calculate the factors of 37074 and 37082 and find the biggest common factor number .

Step-1: Prime Factorization of 37074

Prime factors of 37074 are 2, 3, 37, 167. Prime factorization of 37074 in exponential form is:

37074 = 2¹ × 3¹ × 37¹ × 167¹

Step-2: Prime Factorization of 37082

Prime factors of 37082 are 2, 18541. Prime factorization of 37082 in exponential form is:

37082 = 2¹ × 18541¹

Step-3: Factors of 37074

List of positive integer factors of 37074 that divides 37074 without a remainder.

1, 2, 3, 6, 37, 74, 111, 167, 222, 334, 501, 1002, 6179, 12358, 18537

Step-4: Factors of 37082

List of positive integer factors of 37082 that divides 37074 without a remainder.

1, 2, 18541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37074 and 37082. The biggest common factor number is the GCF number.
So the greatest common factor 37074 and 37082 is 2.

Also check out the Least Common Multiple of 37074 and 37082