What is the Greatest Common Factor of 3165 and 3180?

Greatest common factor (GCF) of 3165 and 3180 is 15.

GCF(3165,3180) = 15

We will now calculate the prime factors of 3165 and 3180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3165 and 3180.

How to find the GCF of 3165 and 3180?

We will first find the prime factorization of 3165 and 3180. After we will calculate the factors of 3165 and 3180 and find the biggest common factor number .

Step-1: Prime Factorization of 3165

Prime factors of 3165 are 3, 5, 211. Prime factorization of 3165 in exponential form is:

3165 = 3¹ × 5¹ × 211¹

Step-2: Prime Factorization of 3180

Prime factors of 3180 are 2, 3, 5, 53. Prime factorization of 3180 in exponential form is:

3180 = 2² × 3¹ × 5¹ × 53¹

Step-3: Factors of 3165

List of positive integer factors of 3165 that divides 3165 without a remainder.

1, 3, 5, 15, 211, 633, 1055

Step-4: Factors of 3180

List of positive integer factors of 3180 that divides 3165 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3165 and 3180. The biggest common factor number is the GCF number.
So the greatest common factor 3165 and 3180 is 15.

Also check out the Least Common Multiple of 3165 and 3180