What is the Greatest Common Factor of 6600 and 6613?

Greatest common factor (GCF) of 6600 and 6613 is 1.

GCF(6600,6613) = 1

We will now calculate the prime factors of 6600 and 6613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6600 and 6613.

How to find the GCF of 6600 and 6613?

We will first find the prime factorization of 6600 and 6613. After we will calculate the factors of 6600 and 6613 and find the biggest common factor number .

Step-1: Prime Factorization of 6600

Prime factors of 6600 are 2, 3, 5, 11. Prime factorization of 6600 in exponential form is:

6600 = 2³ × 3¹ × 5² × 11¹

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 6600

List of positive integer factors of 6600 that divides 6600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300

Step-4: Factors of 6613

List of positive integer factors of 6613 that divides 6600 without a remainder.

1, 17, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6600 and 6613. The biggest common factor number is the GCF number.
So the greatest common factor 6600 and 6613 is 1.

Also check out the Least Common Multiple of 6600 and 6613