What is the Greatest Common Factor of 12496 and 12502?

Greatest common factor (GCF) of 12496 and 12502 is 2.

GCF(12496,12502) = 2

We will now calculate the prime factors of 12496 and 12502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12496 and 12502.

How to find the GCF of 12496 and 12502?

We will first find the prime factorization of 12496 and 12502. After we will calculate the factors of 12496 and 12502 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 12502

Prime factors of 12502 are 2, 7, 19, 47. Prime factorization of 12502 in exponential form is:

12502 = 2¹ × 7¹ × 19¹ × 47¹

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 12502

List of positive integer factors of 12502 that divides 12496 without a remainder.

1, 2, 7, 14, 19, 38, 47, 94, 133, 266, 329, 658, 893, 1786, 6251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12496 and 12502. The biggest common factor number is the GCF number.
So the greatest common factor 12496 and 12502 is 2.

Also check out the Least Common Multiple of 12496 and 12502