What is the Greatest Common Factor of 6596 and 6613?

Greatest common factor (GCF) of 6596 and 6613 is 17.

GCF(6596,6613) = 17

We will now calculate the prime factors of 6596 and 6613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6596 and 6613.

How to find the GCF of 6596 and 6613?

We will first find the prime factorization of 6596 and 6613. After we will calculate the factors of 6596 and 6613 and find the biggest common factor number .

Step-1: Prime Factorization of 6596

Prime factors of 6596 are 2, 17, 97. Prime factorization of 6596 in exponential form is:

6596 = 2² × 17¹ × 97¹

Step-2: Prime Factorization of 6613

Prime factors of 6613 are 17, 389. Prime factorization of 6613 in exponential form is:

6613 = 17¹ × 389¹

Step-3: Factors of 6596

List of positive integer factors of 6596 that divides 6596 without a remainder.

1, 2, 4, 17, 34, 68, 97, 194, 388, 1649, 3298

Step-4: Factors of 6613

List of positive integer factors of 6613 that divides 6596 without a remainder.

1, 17, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6596 and 6613. The biggest common factor number is the GCF number.
So the greatest common factor 6596 and 6613 is 17.

Also check out the Least Common Multiple of 6596 and 6613