What is the Greatest Common Factor of 6165 and 6180?

Greatest common factor (GCF) of 6165 and 6180 is 15.

GCF(6165,6180) = 15

We will now calculate the prime factors of 6165 and 6180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6165 and 6180.

How to find the GCF of 6165 and 6180?

We will first find the prime factorization of 6165 and 6180. After we will calculate the factors of 6165 and 6180 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 6180

Prime factors of 6180 are 2, 3, 5, 103. Prime factorization of 6180 in exponential form is:

6180 = 2² × 3¹ × 5¹ × 103¹

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 6180

List of positive integer factors of 6180 that divides 6165 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 103, 206, 309, 412, 515, 618, 1030, 1236, 1545, 2060, 3090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6165 and 6180. The biggest common factor number is the GCF number.
So the greatest common factor 6165 and 6180 is 15.

Also check out the Least Common Multiple of 6165 and 6180