What is the Greatest Common Factor of 41067 and 41082?

Greatest common factor (GCF) of 41067 and 41082 is 3.

GCF(41067,41082) = 3

We will now calculate the prime factors of 41067 and 41082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41067 and 41082.

How to find the GCF of 41067 and 41082?

We will first find the prime factorization of 41067 and 41082. After we will calculate the factors of 41067 and 41082 and find the biggest common factor number .

Step-1: Prime Factorization of 41067

Prime factors of 41067 are 3, 13. Prime factorization of 41067 in exponential form is:

41067 = 3⁵ × 13²

Step-2: 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-3: Factors of 41067

List of positive integer factors of 41067 that divides 41067 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 169, 243, 351, 507, 1053, 1521, 3159, 4563, 13689

Step-4: Factors of 41082

List of positive integer factors of 41082 that divides 41067 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41067 and 41082. The biggest common factor number is the GCF number.
So the greatest common factor 41067 and 41082 is 3.

Also check out the Least Common Multiple of 41067 and 41082