What is the Greatest Common Factor of 3330 and 3342?

Greatest common factor (GCF) of 3330 and 3342 is 6.

GCF(3330,3342) = 6

We will now calculate the prime factors of 3330 and 3342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3330 and 3342.

How to find the GCF of 3330 and 3342?

We will first find the prime factorization of 3330 and 3342. After we will calculate the factors of 3330 and 3342 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 3342

Prime factors of 3342 are 2, 3, 557. Prime factorization of 3342 in exponential form is:

3342 = 2¹ × 3¹ × 557¹

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 3342

List of positive integer factors of 3342 that divides 3330 without a remainder.

1, 2, 3, 6, 557, 1114, 1671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3330 and 3342. The biggest common factor number is the GCF number.
So the greatest common factor 3330 and 3342 is 6.

Also check out the Least Common Multiple of 3330 and 3342