What is the Greatest Common Factor of 12519 and 12532?

Greatest common factor (GCF) of 12519 and 12532 is 13.

GCF(12519,12532) = 13

We will now calculate the prime factors of 12519 and 12532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12519 and 12532.

How to find the GCF of 12519 and 12532?

We will first find the prime factorization of 12519 and 12532. After we will calculate the factors of 12519 and 12532 and find the biggest common factor number .

Step-1: Prime Factorization of 12519

Prime factors of 12519 are 3, 13, 107. Prime factorization of 12519 in exponential form is:

12519 = 3² × 13¹ × 107¹

Step-2: Prime Factorization of 12532

Prime factors of 12532 are 2, 13, 241. Prime factorization of 12532 in exponential form is:

12532 = 2² × 13¹ × 241¹

Step-3: Factors of 12519

List of positive integer factors of 12519 that divides 12519 without a remainder.

1, 3, 9, 13, 39, 107, 117, 321, 963, 1391, 4173

Step-4: Factors of 12532

List of positive integer factors of 12532 that divides 12519 without a remainder.

1, 2, 4, 13, 26, 52, 241, 482, 964, 3133, 6266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12519 and 12532. The biggest common factor number is the GCF number.
So the greatest common factor 12519 and 12532 is 13.

Also check out the Least Common Multiple of 12519 and 12532