What is the Greatest Common Factor of 12512 and 12528?

Greatest common factor (GCF) of 12512 and 12528 is 16.

GCF(12512,12528) = 16

We will now calculate the prime factors of 12512 and 12528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12512 and 12528.

How to find the GCF of 12512 and 12528?

We will first find the prime factorization of 12512 and 12528. After we will calculate the factors of 12512 and 12528 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 12528

Prime factors of 12528 are 2, 3, 29. Prime factorization of 12528 in exponential form is:

12528 = 2⁴ × 3³ × 29¹

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 12528

List of positive integer factors of 12528 that divides 12512 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 29, 36, 48, 54, 58, 72, 87, 108, 116, 144, 174, 216, 232, 261, 348, 432, 464, 522, 696, 783, 1044, 1392, 1566, 2088, 3132, 4176, 6264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12512 and 12528. The biggest common factor number is the GCF number.
So the greatest common factor 12512 and 12528 is 16.

Also check out the Least Common Multiple of 12512 and 12528