What is the Greatest Common Factor of 6145 and 6165?

Greatest common factor (GCF) of 6145 and 6165 is 5.

GCF(6145,6165) = 5

We will now calculate the prime factors of 6145 and 6165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6145 and 6165.

How to find the GCF of 6145 and 6165?

We will first find the prime factorization of 6145 and 6165. After we will calculate the factors of 6145 and 6165 and find the biggest common factor number .

Step-1: Prime Factorization of 6145

Prime factors of 6145 are 5, 1229. Prime factorization of 6145 in exponential form is:

6145 = 5¹ × 1229¹

Step-2: Prime Factorization of 6165

Prime factors of 6165 are 3, 5, 137. Prime factorization of 6165 in exponential form is:

6165 = 3² × 5¹ × 137¹

Step-3: Factors of 6145

List of positive integer factors of 6145 that divides 6145 without a remainder.

1, 5, 1229

Step-4: Factors of 6165

List of positive integer factors of 6165 that divides 6145 without a remainder.

1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6145 and 6165. The biggest common factor number is the GCF number.
So the greatest common factor 6145 and 6165 is 5.

Also check out the Least Common Multiple of 6145 and 6165