What is the Greatest Common Factor of 37082 and 37098?

Greatest common factor (GCF) of 37082 and 37098 is 2.

GCF(37082,37098) = 2

We will now calculate the prime factors of 37082 and 37098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37082 and 37098.

How to find the GCF of 37082 and 37098?

We will first find the prime factorization of 37082 and 37098. After we will calculate the factors of 37082 and 37098 and find the biggest common factor number .

Step-1: Prime Factorization of 37082

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

37082 = 2¹ × 18541¹

Step-2: Prime Factorization of 37098

Prime factors of 37098 are 2, 3, 229. Prime factorization of 37098 in exponential form is:

37098 = 2¹ × 3⁴ × 229¹

Step-3: Factors of 37082

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

1, 2, 18541

Step-4: Factors of 37098

List of positive integer factors of 37098 that divides 37082 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 229, 458, 687, 1374, 2061, 4122, 6183, 12366, 18549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37082 and 37098. The biggest common factor number is the GCF number.
So the greatest common factor 37082 and 37098 is 2.

Also check out the Least Common Multiple of 37082 and 37098