What is the Greatest Common Factor of 3288 and 3300?

Greatest common factor (GCF) of 3288 and 3300 is 12.

GCF(3288,3300) = 12

We will now calculate the prime factors of 3288 and 3300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3288 and 3300.

How to find the GCF of 3288 and 3300?

We will first find the prime factorization of 3288 and 3300. After we will calculate the factors of 3288 and 3300 and find the biggest common factor number .

Step-1: Prime Factorization of 3288

Prime factors of 3288 are 2, 3, 137. Prime factorization of 3288 in exponential form is:

3288 = 2³ × 3¹ × 137¹

Step-2: 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-3: Factors of 3288

List of positive integer factors of 3288 that divides 3288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644

Step-4: Factors of 3300

List of positive integer factors of 3300 that divides 3288 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3288 and 3300. The biggest common factor number is the GCF number.
So the greatest common factor 3288 and 3300 is 12.

Also check out the Least Common Multiple of 3288 and 3300