What is the Greatest Common Factor of 15165 and 15172?

Greatest common factor (GCF) of 15165 and 15172 is 1.

GCF(15165,15172) = 1

We will now calculate the prime factors of 15165 and 15172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15165 and 15172.

How to find the GCF of 15165 and 15172?

We will first find the prime factorization of 15165 and 15172. After we will calculate the factors of 15165 and 15172 and find the biggest common factor number .

Step-1: Prime Factorization of 15165

Prime factors of 15165 are 3, 5, 337. Prime factorization of 15165 in exponential form is:

15165 = 3² × 5¹ × 337¹

Step-2: Prime Factorization of 15172

Prime factors of 15172 are 2, 3793. Prime factorization of 15172 in exponential form is:

15172 = 2² × 3793¹

Step-3: Factors of 15165

List of positive integer factors of 15165 that divides 15165 without a remainder.

1, 3, 5, 9, 15, 45, 337, 1011, 1685, 3033, 5055

Step-4: Factors of 15172

List of positive integer factors of 15172 that divides 15165 without a remainder.

1, 2, 4, 3793, 7586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15165 and 15172. The biggest common factor number is the GCF number.
So the greatest common factor 15165 and 15172 is 1.

Also check out the Least Common Multiple of 15165 and 15172