What is the Greatest Common Factor of 6165 and 6175?

Greatest common factor (GCF) of 6165 and 6175 is 5.

GCF(6165,6175) = 5

We will now calculate the prime factors of 6165 and 6175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6165 and 6175.

How to find the GCF of 6165 and 6175?

We will first find the prime factorization of 6165 and 6175. After we will calculate the factors of 6165 and 6175 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6175

Prime factors of 6175 are 5, 13, 19. Prime factorization of 6175 in exponential form is:

6175 = 5² × 13¹ × 19¹

Step-3: Factors of 6165

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

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

Step-4: Factors of 6175

List of positive integer factors of 6175 that divides 6165 without a remainder.

1, 5, 13, 19, 25, 65, 95, 247, 325, 475, 1235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6165 and 6175. The biggest common factor number is the GCF number.
So the greatest common factor 6165 and 6175 is 5.

Also check out the Least Common Multiple of 6165 and 6175