What is the Greatest Common Factor of 12500 and 12517?

Greatest common factor (GCF) of 12500 and 12517 is 1.

GCF(12500,12517) = 1

We will now calculate the prime factors of 12500 and 12517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12500 and 12517.

How to find the GCF of 12500 and 12517?

We will first find the prime factorization of 12500 and 12517. After we will calculate the factors of 12500 and 12517 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 12517

Prime factors of 12517 are 12517. Prime factorization of 12517 in exponential form is:

12517 = 12517¹

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 12517

List of positive integer factors of 12517 that divides 12500 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12500 and 12517. The biggest common factor number is the GCF number.
So the greatest common factor 12500 and 12517 is 1.

Also check out the Least Common Multiple of 12500 and 12517