What is the Greatest Common Factor of 12587 and 12596?

Greatest common factor (GCF) of 12587 and 12596 is 1.

GCF(12587,12596) = 1

We will now calculate the prime factors of 12587 and 12596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12587 and 12596.

How to find the GCF of 12587 and 12596?

We will first find the prime factorization of 12587 and 12596. After we will calculate the factors of 12587 and 12596 and find the biggest common factor number .

Step-1: Prime Factorization of 12587

Prime factors of 12587 are 41, 307. Prime factorization of 12587 in exponential form is:

12587 = 41¹ × 307¹

Step-2: Prime Factorization of 12596

Prime factors of 12596 are 2, 47, 67. Prime factorization of 12596 in exponential form is:

12596 = 2² × 47¹ × 67¹

Step-3: Factors of 12587

List of positive integer factors of 12587 that divides 12587 without a remainder.

1, 41, 307

Step-4: Factors of 12596

List of positive integer factors of 12596 that divides 12587 without a remainder.

1, 2, 4, 47, 67, 94, 134, 188, 268, 3149, 6298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12587 and 12596. The biggest common factor number is the GCF number.
So the greatest common factor 12587 and 12596 is 1.

Also check out the Least Common Multiple of 12587 and 12596