What is the Greatest Common Factor of 12617 and 12635?

Greatest common factor (GCF) of 12617 and 12635 is 1.

GCF(12617,12635) = 1

We will now calculate the prime factors of 12617 and 12635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12617 and 12635.

How to find the GCF of 12617 and 12635?

We will first find the prime factorization of 12617 and 12635. After we will calculate the factors of 12617 and 12635 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 12635

Prime factors of 12635 are 5, 7, 19. Prime factorization of 12635 in exponential form is:

12635 = 5¹ × 7¹ × 19²

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 12635

List of positive integer factors of 12635 that divides 12617 without a remainder.

1, 5, 7, 19, 35, 95, 133, 361, 665, 1805, 2527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12617 and 12635. The biggest common factor number is the GCF number.
So the greatest common factor 12617 and 12635 is 1.

Also check out the Least Common Multiple of 12617 and 12635