What is the Greatest Common Factor of 12496 and 12507?

Greatest common factor (GCF) of 12496 and 12507 is 11.

GCF(12496,12507) = 11

We will now calculate the prime factors of 12496 and 12507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12496 and 12507.

How to find the GCF of 12496 and 12507?

We will first find the prime factorization of 12496 and 12507. After we will calculate the factors of 12496 and 12507 and find the biggest common factor number .

Step-1: Prime Factorization of 12496

Prime factors of 12496 are 2, 11, 71. Prime factorization of 12496 in exponential form is:

12496 = 2⁴ × 11¹ × 71¹

Step-2: Prime Factorization of 12507

Prime factors of 12507 are 3, 11, 379. Prime factorization of 12507 in exponential form is:

12507 = 3¹ × 11¹ × 379¹

Step-3: Factors of 12496

List of positive integer factors of 12496 that divides 12496 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 71, 88, 142, 176, 284, 568, 781, 1136, 1562, 3124, 6248

Step-4: Factors of 12507

List of positive integer factors of 12507 that divides 12496 without a remainder.

1, 3, 11, 33, 379, 1137, 4169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12496 and 12507. The biggest common factor number is the GCF number.
So the greatest common factor 12496 and 12507 is 11.

Also check out the Least Common Multiple of 12496 and 12507