What is the Greatest Common Factor of 12608 and 12617?

Greatest common factor (GCF) of 12608 and 12617 is 1.

GCF(12608,12617) = 1

We will now calculate the prime factors of 12608 and 12617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12608 and 12617.

How to find the GCF of 12608 and 12617?

We will first find the prime factorization of 12608 and 12617. After we will calculate the factors of 12608 and 12617 and find the biggest common factor number .

Step-1: Prime Factorization of 12608

Prime factors of 12608 are 2, 197. Prime factorization of 12608 in exponential form is:

12608 = 2⁶ × 197¹

Step-2: 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-3: Factors of 12608

List of positive integer factors of 12608 that divides 12608 without a remainder.

1, 2, 4, 8, 16, 32, 64, 197, 394, 788, 1576, 3152, 6304

Step-4: Factors of 12617

List of positive integer factors of 12617 that divides 12608 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12608 and 12617. The biggest common factor number is the GCF number.
So the greatest common factor 12608 and 12617 is 1.

Also check out the Least Common Multiple of 12608 and 12617