What is the Greatest Common Factor of 12586 and 12594?

Greatest common factor (GCF) of 12586 and 12594 is 2.

GCF(12586,12594) = 2

We will now calculate the prime factors of 12586 and 12594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12586 and 12594.

How to find the GCF of 12586 and 12594?

We will first find the prime factorization of 12586 and 12594. After we will calculate the factors of 12586 and 12594 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 12594

Prime factors of 12594 are 2, 3, 2099. Prime factorization of 12594 in exponential form is:

12594 = 2¹ × 3¹ × 2099¹

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 12594

List of positive integer factors of 12594 that divides 12586 without a remainder.

1, 2, 3, 6, 2099, 4198, 6297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12586 and 12594. The biggest common factor number is the GCF number.
So the greatest common factor 12586 and 12594 is 2.

Also check out the Least Common Multiple of 12586 and 12594