What is the Greatest Common Factor of 12500 and 12515?

Greatest common factor (GCF) of 12500 and 12515 is 5.

GCF(12500,12515) = 5

We will now calculate the prime factors of 12500 and 12515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12500 and 12515.

How to find the GCF of 12500 and 12515?

We will first find the prime factorization of 12500 and 12515. After we will calculate the factors of 12500 and 12515 and find the biggest common factor number .

Step-1: Prime Factorization of 12500

Prime factors of 12500 are 2, 5. Prime factorization of 12500 in exponential form is:

12500 = 2² × 5⁵

Step-2: Prime Factorization of 12515

Prime factors of 12515 are 5, 2503. Prime factorization of 12515 in exponential form is:

12515 = 5¹ × 2503¹

Step-3: Factors of 12500

List of positive integer factors of 12500 that divides 12500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500, 3125, 6250

Step-4: Factors of 12515

List of positive integer factors of 12515 that divides 12500 without a remainder.

1, 5, 2503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12500 and 12515. The biggest common factor number is the GCF number.
So the greatest common factor 12500 and 12515 is 5.

Also check out the Least Common Multiple of 12500 and 12515