What is the Greatest Common Factor of 3300 and 3306?

Greatest common factor (GCF) of 3300 and 3306 is 6.

GCF(3300,3306) = 6

We will now calculate the prime factors of 3300 and 3306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3300 and 3306.

How to find the GCF of 3300 and 3306?

We will first find the prime factorization of 3300 and 3306. After we will calculate the factors of 3300 and 3306 and find the biggest common factor number .

Step-1: Prime Factorization of 3300

Prime factors of 3300 are 2, 3, 5, 11. Prime factorization of 3300 in exponential form is:

3300 = 2² × 3¹ × 5² × 11¹

Step-2: Prime Factorization of 3306

Prime factors of 3306 are 2, 3, 19, 29. Prime factorization of 3306 in exponential form is:

3306 = 2¹ × 3¹ × 19¹ × 29¹

Step-3: Factors of 3300

List of positive integer factors of 3300 that divides 3300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650

Step-4: Factors of 3306

List of positive integer factors of 3306 that divides 3300 without a remainder.

1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3300 and 3306. The biggest common factor number is the GCF number.
So the greatest common factor 3300 and 3306 is 6.

Also check out the Least Common Multiple of 3300 and 3306