What is the Greatest Common Factor of 6600 and 6611?

Greatest common factor (GCF) of 6600 and 6611 is 11.

GCF(6600,6611) = 11

We will now calculate the prime factors of 6600 and 6611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6600 and 6611.

How to find the GCF of 6600 and 6611?

We will first find the prime factorization of 6600 and 6611. After we will calculate the factors of 6600 and 6611 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 6611

Prime factors of 6611 are 11, 601. Prime factorization of 6611 in exponential form is:

6611 = 11¹ × 601¹

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 6611

List of positive integer factors of 6611 that divides 6600 without a remainder.

1, 11, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6600 and 6611. The biggest common factor number is the GCF number.
So the greatest common factor 6600 and 6611 is 11.

Also check out the Least Common Multiple of 6600 and 6611