What is the Greatest Common Factor of 12617 and 12634?

Greatest common factor (GCF) of 12617 and 12634 is 1.

GCF(12617,12634) = 1

We will now calculate the prime factors of 12617 and 12634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12617 and 12634.

How to find the GCF of 12617 and 12634?

We will first find the prime factorization of 12617 and 12634. After we will calculate the factors of 12617 and 12634 and find the biggest common factor number .

Step-1: Prime Factorization of 12617

Prime factors of 12617 are 11, 31, 37. Prime factorization of 12617 in exponential form is:

12617 = 11¹ × 31¹ × 37¹

Step-2: Prime Factorization of 12634

Prime factors of 12634 are 2, 6317. Prime factorization of 12634 in exponential form is:

12634 = 2¹ × 6317¹

Step-3: Factors of 12617

List of positive integer factors of 12617 that divides 12617 without a remainder.

1, 11, 31, 37, 341, 407, 1147

Step-4: Factors of 12634

List of positive integer factors of 12634 that divides 12617 without a remainder.

1, 2, 6317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12617 and 12634. The biggest common factor number is the GCF number.
So the greatest common factor 12617 and 12634 is 1.

Also check out the Least Common Multiple of 12617 and 12634