What is the Greatest Common Factor of 3300 and 3315?

Greatest common factor (GCF) of 3300 and 3315 is 15.

GCF(3300,3315) = 15

We will now calculate the prime factors of 3300 and 3315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3300 and 3315.

How to find the GCF of 3300 and 3315?

We will first find the prime factorization of 3300 and 3315. After we will calculate the factors of 3300 and 3315 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 3315

Prime factors of 3315 are 3, 5, 13, 17. Prime factorization of 3315 in exponential form is:

3315 = 3¹ × 5¹ × 13¹ × 17¹

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 3315

List of positive integer factors of 3315 that divides 3300 without a remainder.

1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3300 and 3315. The biggest common factor number is the GCF number.
So the greatest common factor 3300 and 3315 is 15.

Also check out the Least Common Multiple of 3300 and 3315