What is the Greatest Common Factor of 15066 and 15084?

Greatest common factor (GCF) of 15066 and 15084 is 18.

GCF(15066,15084) = 18

We will now calculate the prime factors of 15066 and 15084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15066 and 15084.

How to find the GCF of 15066 and 15084?

We will first find the prime factorization of 15066 and 15084. After we will calculate the factors of 15066 and 15084 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 15084

Prime factors of 15084 are 2, 3, 419. Prime factorization of 15084 in exponential form is:

15084 = 2² × 3² × 419¹

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 15084

List of positive integer factors of 15084 that divides 15066 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 419, 838, 1257, 1676, 2514, 3771, 5028, 7542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15066 and 15084. The biggest common factor number is the GCF number.
So the greatest common factor 15066 and 15084 is 18.

Also check out the Least Common Multiple of 15066 and 15084