What is the Greatest Common Factor of 12586 and 12598?

Greatest common factor (GCF) of 12586 and 12598 is 2.

GCF(12586,12598) = 2

We will now calculate the prime factors of 12586 and 12598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12586 and 12598.

How to find the GCF of 12586 and 12598?

We will first find the prime factorization of 12586 and 12598. After we will calculate the factors of 12586 and 12598 and find the biggest common factor number .

Step-1: Prime Factorization of 12586

Prime factors of 12586 are 2, 7, 29, 31. Prime factorization of 12586 in exponential form is:

12586 = 2¹ × 7¹ × 29¹ × 31¹

Step-2: Prime Factorization of 12598

Prime factors of 12598 are 2, 6299. Prime factorization of 12598 in exponential form is:

12598 = 2¹ × 6299¹

Step-3: Factors of 12586

List of positive integer factors of 12586 that divides 12586 without a remainder.

1, 2, 7, 14, 29, 31, 58, 62, 203, 217, 406, 434, 899, 1798, 6293

Step-4: Factors of 12598

List of positive integer factors of 12598 that divides 12586 without a remainder.

1, 2, 6299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12586 and 12598. The biggest common factor number is the GCF number.
So the greatest common factor 12586 and 12598 is 2.

Also check out the Least Common Multiple of 12586 and 12598