What is the Greatest Common Factor of 6165 and 6177?

Greatest common factor (GCF) of 6165 and 6177 is 3.

GCF(6165,6177) = 3

We will now calculate the prime factors of 6165 and 6177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6165 and 6177.

How to find the GCF of 6165 and 6177?

We will first find the prime factorization of 6165 and 6177. After we will calculate the factors of 6165 and 6177 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 6177

Prime factors of 6177 are 3, 29, 71. Prime factorization of 6177 in exponential form is:

6177 = 3¹ × 29¹ × 71¹

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 6177

List of positive integer factors of 6177 that divides 6165 without a remainder.

1, 3, 29, 71, 87, 213, 2059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6165 and 6177. The biggest common factor number is the GCF number.
So the greatest common factor 6165 and 6177 is 3.

Also check out the Least Common Multiple of 6165 and 6177