What is the Greatest Common Factor of 15165 and 15177?

Greatest common factor (GCF) of 15165 and 15177 is 3.

GCF(15165,15177) = 3

We will now calculate the prime factors of 15165 and 15177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15165 and 15177.

How to find the GCF of 15165 and 15177?

We will first find the prime factorization of 15165 and 15177. After we will calculate the factors of 15165 and 15177 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 15177

Prime factors of 15177 are 3, 5059. Prime factorization of 15177 in exponential form is:

15177 = 3¹ × 5059¹

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 15177

List of positive integer factors of 15177 that divides 15165 without a remainder.

1, 3, 5059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15165 and 15177. The biggest common factor number is the GCF number.
So the greatest common factor 15165 and 15177 is 3.

Also check out the Least Common Multiple of 15165 and 15177