What is the Greatest Common Factor of 12915 and 12930?

Greatest common factor (GCF) of 12915 and 12930 is 15.

GCF(12915,12930) = 15

We will now calculate the prime factors of 12915 and 12930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12915 and 12930.

How to find the GCF of 12915 and 12930?

We will first find the prime factorization of 12915 and 12930. After we will calculate the factors of 12915 and 12930 and find the biggest common factor number .

Step-1: Prime Factorization of 12915

Prime factors of 12915 are 3, 5, 7, 41. Prime factorization of 12915 in exponential form is:

12915 = 3² × 5¹ × 7¹ × 41¹

Step-2: Prime Factorization of 12930

Prime factors of 12930 are 2, 3, 5, 431. Prime factorization of 12930 in exponential form is:

12930 = 2¹ × 3¹ × 5¹ × 431¹

Step-3: Factors of 12915

List of positive integer factors of 12915 that divides 12915 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 41, 45, 63, 105, 123, 205, 287, 315, 369, 615, 861, 1435, 1845, 2583, 4305

Step-4: Factors of 12930

List of positive integer factors of 12930 that divides 12915 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 431, 862, 1293, 2155, 2586, 4310, 6465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12915 and 12930. The biggest common factor number is the GCF number.
So the greatest common factor 12915 and 12930 is 15.

Also check out the Least Common Multiple of 12915 and 12930