What is the Greatest Common Factor of 6600 and 6612?

Greatest common factor (GCF) of 6600 and 6612 is 12.

GCF(6600,6612) = 12

We will now calculate the prime factors of 6600 and 6612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6600 and 6612.

How to find the GCF of 6600 and 6612?

We will first find the prime factorization of 6600 and 6612. After we will calculate the factors of 6600 and 6612 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 6612

Prime factors of 6612 are 2, 3, 19, 29. Prime factorization of 6612 in exponential form is:

6612 = 2² × 3¹ × 19¹ × 29¹

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 6612

List of positive integer factors of 6612 that divides 6600 without a remainder.

1, 2, 3, 4, 6, 12, 19, 29, 38, 57, 58, 76, 87, 114, 116, 174, 228, 348, 551, 1102, 1653, 2204, 3306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6600 and 6612. The biggest common factor number is the GCF number.
So the greatest common factor 6600 and 6612 is 12.

Also check out the Least Common Multiple of 6600 and 6612