What is the Greatest Common Factor of 3330 and 3340?

Greatest common factor (GCF) of 3330 and 3340 is 10.

GCF(3330,3340) = 10

We will now calculate the prime factors of 3330 and 3340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3330 and 3340.

How to find the GCF of 3330 and 3340?

We will first find the prime factorization of 3330 and 3340. After we will calculate the factors of 3330 and 3340 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 3340

Prime factors of 3340 are 2, 5, 167. Prime factorization of 3340 in exponential form is:

3340 = 2² × 5¹ × 167¹

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 3340

List of positive integer factors of 3340 that divides 3330 without a remainder.

1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3330 and 3340. The biggest common factor number is the GCF number.
So the greatest common factor 3330 and 3340 is 10.

Also check out the Least Common Multiple of 3330 and 3340