What is the Greatest Common Factor of 15066 and 15073?

Greatest common factor (GCF) of 15066 and 15073 is 1.

GCF(15066,15073) = 1

We will now calculate the prime factors of 15066 and 15073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15066 and 15073.

How to find the GCF of 15066 and 15073?

We will first find the prime factorization of 15066 and 15073. After we will calculate the factors of 15066 and 15073 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 15073

Prime factors of 15073 are 15073. Prime factorization of 15073 in exponential form is:

15073 = 15073¹

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 15073

List of positive integer factors of 15073 that divides 15066 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15066 and 15073. The biggest common factor number is the GCF number.
So the greatest common factor 15066 and 15073 is 1.

Also check out the Least Common Multiple of 15066 and 15073