What is the Greatest Common Factor of 6617 and 6630?

Greatest common factor (GCF) of 6617 and 6630 is 13.

GCF(6617,6630) = 13

We will now calculate the prime factors of 6617 and 6630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6617 and 6630.

How to find the GCF of 6617 and 6630?

We will first find the prime factorization of 6617 and 6630. After we will calculate the factors of 6617 and 6630 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 6630

Prime factors of 6630 are 2, 3, 5, 13, 17. Prime factorization of 6630 in exponential form is:

6630 = 2¹ × 3¹ × 5¹ × 13¹ × 17¹

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 6630

List of positive integer factors of 6630 that divides 6617 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6617 and 6630. The biggest common factor number is the GCF number.
So the greatest common factor 6617 and 6630 is 13.

Also check out the Least Common Multiple of 6617 and 6630