What is the Greatest Common Factor of 12529 and 12539?

Greatest common factor (GCF) of 12529 and 12539 is 1.

GCF(12529,12539) = 1

We will now calculate the prime factors of 12529 and 12539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12529 and 12539.

How to find the GCF of 12529 and 12539?

We will first find the prime factorization of 12529 and 12539. After we will calculate the factors of 12529 and 12539 and find the biggest common factor number .

Step-1: Prime Factorization of 12529

Prime factors of 12529 are 11, 17, 67. Prime factorization of 12529 in exponential form is:

12529 = 11¹ × 17¹ × 67¹

Step-2: Prime Factorization of 12539

Prime factors of 12539 are 12539. Prime factorization of 12539 in exponential form is:

12539 = 12539¹

Step-3: Factors of 12529

List of positive integer factors of 12529 that divides 12529 without a remainder.

1, 11, 17, 67, 187, 737, 1139

Step-4: Factors of 12539

List of positive integer factors of 12539 that divides 12529 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12529 and 12539. The biggest common factor number is the GCF number.
So the greatest common factor 12529 and 12539 is 1.

Also check out the Least Common Multiple of 12529 and 12539