What is the Greatest Common Factor of 3330 and 3348?

Greatest common factor (GCF) of 3330 and 3348 is 18.

GCF(3330,3348) = 18

We will now calculate the prime factors of 3330 and 3348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3330 and 3348.

How to find the GCF of 3330 and 3348?

We will first find the prime factorization of 3330 and 3348. After we will calculate the factors of 3330 and 3348 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3348

Prime factors of 3348 are 2, 3, 31. Prime factorization of 3348 in exponential form is:

3348 = 2² × 3³ × 31¹

Step-3: Factors of 3330

List of positive integer factors of 3330 that divides 3330 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

Step-4: Factors of 3348

List of positive integer factors of 3348 that divides 3330 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3330 and 3348. The biggest common factor number is the GCF number.
So the greatest common factor 3330 and 3348 is 18.

Also check out the Least Common Multiple of 3330 and 3348