What is the Greatest Common Factor of 3300 and 3312?

Greatest common factor (GCF) of 3300 and 3312 is 12.

GCF(3300,3312) = 12

We will now calculate the prime factors of 3300 and 3312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3300 and 3312.

How to find the GCF of 3300 and 3312?

We will first find the prime factorization of 3300 and 3312. After we will calculate the factors of 3300 and 3312 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 3312

Prime factors of 3312 are 2, 3, 23. Prime factorization of 3312 in exponential form is:

3312 = 2⁴ × 3² × 23¹

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 3312

List of positive integer factors of 3312 that divides 3300 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3300 and 3312. The biggest common factor number is the GCF number.
So the greatest common factor 3300 and 3312 is 12.

Also check out the Least Common Multiple of 3300 and 3312