What is the Greatest Common Factor of 12493 and 12506?

Greatest common factor (GCF) of 12493 and 12506 is 13.

GCF(12493,12506) = 13

We will now calculate the prime factors of 12493 and 12506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12493 and 12506.

How to find the GCF of 12493 and 12506?

We will first find the prime factorization of 12493 and 12506. After we will calculate the factors of 12493 and 12506 and find the biggest common factor number .

Step-1: Prime Factorization of 12493

Prime factors of 12493 are 13, 31. Prime factorization of 12493 in exponential form is:

12493 = 13¹ × 31²

Step-2: Prime Factorization of 12506

Prime factors of 12506 are 2, 13, 37. Prime factorization of 12506 in exponential form is:

12506 = 2¹ × 13² × 37¹

Step-3: Factors of 12493

List of positive integer factors of 12493 that divides 12493 without a remainder.

1, 13, 31, 403, 961

Step-4: Factors of 12506

List of positive integer factors of 12506 that divides 12493 without a remainder.

1, 2, 13, 26, 37, 74, 169, 338, 481, 962, 6253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12493 and 12506. The biggest common factor number is the GCF number.
So the greatest common factor 12493 and 12506 is 13.

Also check out the Least Common Multiple of 12493 and 12506