What is the Greatest Common Factor of 41082 and 41098?

Greatest common factor (GCF) of 41082 and 41098 is 2.

GCF(41082,41098) = 2

We will now calculate the prime factors of 41082 and 41098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41082 and 41098.

How to find the GCF of 41082 and 41098?

We will first find the prime factorization of 41082 and 41098. After we will calculate the factors of 41082 and 41098 and find the biggest common factor number .

Step-1: Prime Factorization of 41082

Prime factors of 41082 are 2, 3, 41, 167. Prime factorization of 41082 in exponential form is:

41082 = 2¹ × 3¹ × 41¹ × 167¹

Step-2: Prime Factorization of 41098

Prime factors of 41098 are 2, 20549. Prime factorization of 41098 in exponential form is:

41098 = 2¹ × 20549¹

Step-3: Factors of 41082

List of positive integer factors of 41082 that divides 41082 without a remainder.

1, 2, 3, 6, 41, 82, 123, 167, 246, 334, 501, 1002, 6847, 13694, 20541

Step-4: Factors of 41098

List of positive integer factors of 41098 that divides 41082 without a remainder.

1, 2, 20549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41082 and 41098. The biggest common factor number is the GCF number.
So the greatest common factor 41082 and 41098 is 2.

Also check out the Least Common Multiple of 41082 and 41098