What is the Greatest Common Factor of 15066 and 15082?

Greatest common factor (GCF) of 15066 and 15082 is 2.

GCF(15066,15082) = 2

We will now calculate the prime factors of 15066 and 15082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15066 and 15082.

How to find the GCF of 15066 and 15082?

We will first find the prime factorization of 15066 and 15082. After we will calculate the factors of 15066 and 15082 and find the biggest common factor number .

Step-1: Prime Factorization of 15066

Prime factors of 15066 are 2, 3, 31. Prime factorization of 15066 in exponential form is:

15066 = 2¹ × 3⁵ × 31¹

Step-2: Prime Factorization of 15082

Prime factors of 15082 are 2, 7541. Prime factorization of 15082 in exponential form is:

15082 = 2¹ × 7541¹

Step-3: Factors of 15066

List of positive integer factors of 15066 that divides 15066 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 243, 279, 486, 558, 837, 1674, 2511, 5022, 7533

Step-4: Factors of 15082

List of positive integer factors of 15082 that divides 15066 without a remainder.

1, 2, 7541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15066 and 15082. The biggest common factor number is the GCF number.
So the greatest common factor 15066 and 15082 is 2.

Also check out the Least Common Multiple of 15066 and 15082