What is the Greatest Common Factor of 3315 and 3330?

Greatest common factor (GCF) of 3315 and 3330 is 15.

GCF(3315,3330) = 15

We will now calculate the prime factors of 3315 and 3330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3315 and 3330.

How to find the GCF of 3315 and 3330?

We will first find the prime factorization of 3315 and 3330. After we will calculate the factors of 3315 and 3330 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3330

Prime factors of 3330 are 2, 3, 5, 37. Prime factorization of 3330 in exponential form is:

3330 = 2¹ × 3² × 5¹ × 37¹

Step-3: Factors of 3315

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

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

Step-4: Factors of 3330

List of positive integer factors of 3330 that divides 3315 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3315 and 3330. The biggest common factor number is the GCF number.
So the greatest common factor 3315 and 3330 is 15.

Also check out the Least Common Multiple of 3315 and 3330