What is the Greatest Common Factor of 12529 and 12536?

Greatest common factor (GCF) of 12529 and 12536 is 1.

GCF(12529,12536) = 1

We will now calculate the prime factors of 12529 and 12536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12529 and 12536.

How to find the GCF of 12529 and 12536?

We will first find the prime factorization of 12529 and 12536. After we will calculate the factors of 12529 and 12536 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 12536

Prime factors of 12536 are 2, 1567. Prime factorization of 12536 in exponential form is:

12536 = 2³ × 1567¹

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 12536

List of positive integer factors of 12536 that divides 12529 without a remainder.

1, 2, 4, 8, 1567, 3134, 6268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12529 and 12536. The biggest common factor number is the GCF number.
So the greatest common factor 12529 and 12536 is 1.

Also check out the Least Common Multiple of 12529 and 12536