What is the Greatest Common Factor of 12909 and 12915?

Greatest common factor (GCF) of 12909 and 12915 is 3.

GCF(12909,12915) = 3

We will now calculate the prime factors of 12909 and 12915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12909 and 12915.

How to find the GCF of 12909 and 12915?

We will first find the prime factorization of 12909 and 12915. After we will calculate the factors of 12909 and 12915 and find the biggest common factor number .

Step-1: Prime Factorization of 12909

Prime factors of 12909 are 3, 13, 331. Prime factorization of 12909 in exponential form is:

12909 = 3¹ × 13¹ × 331¹

Step-2: 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-3: Factors of 12909

List of positive integer factors of 12909 that divides 12909 without a remainder.

1, 3, 13, 39, 331, 993, 4303

Step-4: Factors of 12915

List of positive integer factors of 12915 that divides 12909 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12909 and 12915. The biggest common factor number is the GCF number.
So the greatest common factor 12909 and 12915 is 3.

Also check out the Least Common Multiple of 12909 and 12915