What is the Greatest Common Factor of 12506 and 12522?

Greatest common factor (GCF) of 12506 and 12522 is 2.

GCF(12506,12522) = 2

We will now calculate the prime factors of 12506 and 12522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12506 and 12522.

How to find the GCF of 12506 and 12522?

We will first find the prime factorization of 12506 and 12522. After we will calculate the factors of 12506 and 12522 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12522

Prime factors of 12522 are 2, 3, 2087. Prime factorization of 12522 in exponential form is:

12522 = 2¹ × 3¹ × 2087¹

Step-3: Factors of 12506

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

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

Step-4: Factors of 12522

List of positive integer factors of 12522 that divides 12506 without a remainder.

1, 2, 3, 6, 2087, 4174, 6261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12506 and 12522. The biggest common factor number is the GCF number.
So the greatest common factor 12506 and 12522 is 2.

Also check out the Least Common Multiple of 12506 and 12522