What is the Greatest Common Factor of 3312 and 3324?

Greatest common factor (GCF) of 3312 and 3324 is 12.

GCF(3312,3324) = 12

We will now calculate the prime factors of 3312 and 3324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3312 and 3324.

How to find the GCF of 3312 and 3324?

We will first find the prime factorization of 3312 and 3324. After we will calculate the factors of 3312 and 3324 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3324

Prime factors of 3324 are 2, 3, 277. Prime factorization of 3324 in exponential form is:

3324 = 2² × 3¹ × 277¹

Step-3: Factors of 3312

List of positive integer factors of 3312 that divides 3312 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

Step-4: Factors of 3324

List of positive integer factors of 3324 that divides 3312 without a remainder.

1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3312 and 3324. The biggest common factor number is the GCF number.
So the greatest common factor 3312 and 3324 is 12.

Also check out the Least Common Multiple of 3312 and 3324