What is the Greatest Common Factor of 3291 and 3300?

Greatest common factor (GCF) of 3291 and 3300 is 3.

GCF(3291,3300) = 3

We will now calculate the prime factors of 3291 and 3300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3291 and 3300.

How to find the GCF of 3291 and 3300?

We will first find the prime factorization of 3291 and 3300. After we will calculate the factors of 3291 and 3300 and find the biggest common factor number .

Step-1: Prime Factorization of 3291

Prime factors of 3291 are 3, 1097. Prime factorization of 3291 in exponential form is:

3291 = 3¹ × 1097¹

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 3291

List of positive integer factors of 3291 that divides 3291 without a remainder.

1, 3, 1097

Step-4: Factors of 3300

List of positive integer factors of 3300 that divides 3291 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 3291 and 3300. The biggest common factor number is the GCF number.
So the greatest common factor 3291 and 3300 is 3.

Also check out the Least Common Multiple of 3291 and 3300