What is the Greatest Common Factor of 3288 and 3303?

Greatest common factor (GCF) of 3288 and 3303 is 3.

GCF(3288,3303) = 3

We will now calculate the prime factors of 3288 and 3303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3288 and 3303.

How to find the GCF of 3288 and 3303?

We will first find the prime factorization of 3288 and 3303. After we will calculate the factors of 3288 and 3303 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 3303

Prime factors of 3303 are 3, 367. Prime factorization of 3303 in exponential form is:

3303 = 3² × 367¹

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 3303

List of positive integer factors of 3303 that divides 3288 without a remainder.

1, 3, 9, 367, 1101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3288 and 3303. The biggest common factor number is the GCF number.
So the greatest common factor 3288 and 3303 is 3.

Also check out the Least Common Multiple of 3288 and 3303