What is the Greatest Common Factor of 15165 and 15174?

Greatest common factor (GCF) of 15165 and 15174 is 9.

GCF(15165,15174) = 9

We will now calculate the prime factors of 15165 and 15174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15165 and 15174.

How to find the GCF of 15165 and 15174?

We will first find the prime factorization of 15165 and 15174. After we will calculate the factors of 15165 and 15174 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 15174

Prime factors of 15174 are 2, 3, 281. Prime factorization of 15174 in exponential form is:

15174 = 2¹ × 3³ × 281¹

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 15174

List of positive integer factors of 15174 that divides 15165 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 281, 562, 843, 1686, 2529, 5058, 7587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15165 and 15174. The biggest common factor number is the GCF number.
So the greatest common factor 15165 and 15174 is 9.

Also check out the Least Common Multiple of 15165 and 15174