What is the Greatest Common Factor of 6617 and 6635?

Greatest common factor (GCF) of 6617 and 6635 is 1.

GCF(6617,6635) = 1

We will now calculate the prime factors of 6617 and 6635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6617 and 6635.

How to find the GCF of 6617 and 6635?

We will first find the prime factorization of 6617 and 6635. After we will calculate the factors of 6617 and 6635 and find the biggest common factor number .

Step-1: Prime Factorization of 6617

Prime factors of 6617 are 13, 509. Prime factorization of 6617 in exponential form is:

6617 = 13¹ × 509¹

Step-2: Prime Factorization of 6635

Prime factors of 6635 are 5, 1327. Prime factorization of 6635 in exponential form is:

6635 = 5¹ × 1327¹

Step-3: Factors of 6617

List of positive integer factors of 6617 that divides 6617 without a remainder.

1, 13, 509

Step-4: Factors of 6635

List of positive integer factors of 6635 that divides 6617 without a remainder.

1, 5, 1327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6617 and 6635. The biggest common factor number is the GCF number.
So the greatest common factor 6617 and 6635 is 1.

Also check out the Least Common Multiple of 6617 and 6635