What is the Greatest Common Factor of 12512 and 12529?

Greatest common factor (GCF) of 12512 and 12529 is 17.

GCF(12512,12529) = 17

We will now calculate the prime factors of 12512 and 12529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12512 and 12529.

How to find the GCF of 12512 and 12529?

We will first find the prime factorization of 12512 and 12529. After we will calculate the factors of 12512 and 12529 and find the biggest common factor number .

Step-1: Prime Factorization of 12512

Prime factors of 12512 are 2, 17, 23. Prime factorization of 12512 in exponential form is:

12512 = 2⁵ × 17¹ × 23¹

Step-2: 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-3: Factors of 12512

List of positive integer factors of 12512 that divides 12512 without a remainder.

1, 2, 4, 8, 16, 17, 23, 32, 34, 46, 68, 92, 136, 184, 272, 368, 391, 544, 736, 782, 1564, 3128, 6256

Step-4: Factors of 12529

List of positive integer factors of 12529 that divides 12512 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12512 and 12529. The biggest common factor number is the GCF number.
So the greatest common factor 12512 and 12529 is 17.

Also check out the Least Common Multiple of 12512 and 12529