What is the Greatest Common Factor of 12508 and 12524?

Greatest common factor (GCF) of 12508 and 12524 is 4.

GCF(12508,12524) = 4

We will now calculate the prime factors of 12508 and 12524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12508 and 12524.

How to find the GCF of 12508 and 12524?

We will first find the prime factorization of 12508 and 12524. After we will calculate the factors of 12508 and 12524 and find the biggest common factor number .

Step-1: Prime Factorization of 12508

Prime factors of 12508 are 2, 53, 59. Prime factorization of 12508 in exponential form is:

12508 = 2² × 53¹ × 59¹

Step-2: Prime Factorization of 12524

Prime factors of 12524 are 2, 31, 101. Prime factorization of 12524 in exponential form is:

12524 = 2² × 31¹ × 101¹

Step-3: Factors of 12508

List of positive integer factors of 12508 that divides 12508 without a remainder.

1, 2, 4, 53, 59, 106, 118, 212, 236, 3127, 6254

Step-4: Factors of 12524

List of positive integer factors of 12524 that divides 12508 without a remainder.

1, 2, 4, 31, 62, 101, 124, 202, 404, 3131, 6262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12508 and 12524. The biggest common factor number is the GCF number.
So the greatest common factor 12508 and 12524 is 4.

Also check out the Least Common Multiple of 12508 and 12524