What is the Greatest Common Factor of 6608 and 6617?

Greatest common factor (GCF) of 6608 and 6617 is 1.

GCF(6608,6617) = 1

We will now calculate the prime factors of 6608 and 6617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6608 and 6617.

How to find the GCF of 6608 and 6617?

We will first find the prime factorization of 6608 and 6617. After we will calculate the factors of 6608 and 6617 and find the biggest common factor number .

Step-1: Prime Factorization of 6608

Prime factors of 6608 are 2, 7, 59. Prime factorization of 6608 in exponential form is:

6608 = 2⁴ × 7¹ × 59¹

Step-2: Prime Factorization of 6617

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

6617 = 13¹ × 509¹

Step-3: Factors of 6608

List of positive integer factors of 6608 that divides 6608 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 413, 472, 826, 944, 1652, 3304

Step-4: Factors of 6617

List of positive integer factors of 6617 that divides 6608 without a remainder.

1, 13, 509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6608 and 6617. The biggest common factor number is the GCF number.
So the greatest common factor 6608 and 6617 is 1.

Also check out the Least Common Multiple of 6608 and 6617