What is the Greatest Common Factor of 12494 and 12500?

Greatest common factor (GCF) of 12494 and 12500 is 2.

GCF(12494,12500) = 2

We will now calculate the prime factors of 12494 and 12500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12494 and 12500.

How to find the GCF of 12494 and 12500?

We will first find the prime factorization of 12494 and 12500. After we will calculate the factors of 12494 and 12500 and find the biggest common factor number .

Step-1: Prime Factorization of 12494

Prime factors of 12494 are 2, 6247. Prime factorization of 12494 in exponential form is:

12494 = 2¹ × 6247¹

Step-2: Prime Factorization of 12500

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

12500 = 2² × 5⁵

Step-3: Factors of 12494

List of positive integer factors of 12494 that divides 12494 without a remainder.

1, 2, 6247

Step-4: Factors of 12500

List of positive integer factors of 12500 that divides 12494 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12494 and 12500. The biggest common factor number is the GCF number.
So the greatest common factor 12494 and 12500 is 2.

Also check out the Least Common Multiple of 12494 and 12500