What is the Greatest Common Factor of 15052 and 15066?

Greatest common factor (GCF) of 15052 and 15066 is 2.

GCF(15052,15066) = 2

We will now calculate the prime factors of 15052 and 15066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15052 and 15066.

How to find the GCF of 15052 and 15066?

We will first find the prime factorization of 15052 and 15066. After we will calculate the factors of 15052 and 15066 and find the biggest common factor number .

Step-1: Prime Factorization of 15052

Prime factors of 15052 are 2, 53, 71. Prime factorization of 15052 in exponential form is:

15052 = 2² × 53¹ × 71¹

Step-2: 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-3: Factors of 15052

List of positive integer factors of 15052 that divides 15052 without a remainder.

1, 2, 4, 53, 71, 106, 142, 212, 284, 3763, 7526

Step-4: Factors of 15066

List of positive integer factors of 15066 that divides 15052 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15052 and 15066. The biggest common factor number is the GCF number.
So the greatest common factor 15052 and 15066 is 2.

Also check out the Least Common Multiple of 15052 and 15066