What is the Greatest Common Factor of 12165 and 12180?

Greatest common factor (GCF) of 12165 and 12180 is 15.

GCF(12165,12180) = 15

We will now calculate the prime factors of 12165 and 12180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12165 and 12180.

How to find the GCF of 12165 and 12180?

We will first find the prime factorization of 12165 and 12180. After we will calculate the factors of 12165 and 12180 and find the biggest common factor number .

Step-1: Prime Factorization of 12165

Prime factors of 12165 are 3, 5, 811. Prime factorization of 12165 in exponential form is:

12165 = 3¹ × 5¹ × 811¹

Step-2: Prime Factorization of 12180

Prime factors of 12180 are 2, 3, 5, 7, 29. Prime factorization of 12180 in exponential form is:

12180 = 2² × 3¹ × 5¹ × 7¹ × 29¹

Step-3: Factors of 12165

List of positive integer factors of 12165 that divides 12165 without a remainder.

1, 3, 5, 15, 811, 2433, 4055

Step-4: Factors of 12180

List of positive integer factors of 12180 that divides 12165 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 29, 30, 35, 42, 58, 60, 70, 84, 87, 105, 116, 140, 145, 174, 203, 210, 290, 348, 406, 420, 435, 580, 609, 812, 870, 1015, 1218, 1740, 2030, 2436, 3045, 4060, 6090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12165 and 12180. The biggest common factor number is the GCF number.
So the greatest common factor 12165 and 12180 is 15.

Also check out the Least Common Multiple of 12165 and 12180