What is the Greatest Common Factor of 12900 and 12915?

Greatest common factor (GCF) of 12900 and 12915 is 15.

GCF(12900,12915) = 15

We will now calculate the prime factors of 12900 and 12915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12900 and 12915.

How to find the GCF of 12900 and 12915?

We will first find the prime factorization of 12900 and 12915. After we will calculate the factors of 12900 and 12915 and find the biggest common factor number .

Step-1: Prime Factorization of 12900

Prime factors of 12900 are 2, 3, 5, 43. Prime factorization of 12900 in exponential form is:

12900 = 2² × 3¹ × 5² × 43¹

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 12900

List of positive integer factors of 12900 that divides 12900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 43, 50, 60, 75, 86, 100, 129, 150, 172, 215, 258, 300, 430, 516, 645, 860, 1075, 1290, 2150, 2580, 3225, 4300, 6450

Step-4: Factors of 12915

List of positive integer factors of 12915 that divides 12900 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 12900 and 12915. The biggest common factor number is the GCF number.
So the greatest common factor 12900 and 12915 is 15.

Also check out the Least Common Multiple of 12900 and 12915