What is the Greatest Common Factor of 3330 and 3346?

Greatest common factor (GCF) of 3330 and 3346 is 2.

GCF(3330,3346) = 2

We will now calculate the prime factors of 3330 and 3346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3330 and 3346.

How to find the GCF of 3330 and 3346?

We will first find the prime factorization of 3330 and 3346. After we will calculate the factors of 3330 and 3346 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 3346

Prime factors of 3346 are 2, 7, 239. Prime factorization of 3346 in exponential form is:

3346 = 2¹ × 7¹ × 239¹

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 3346

List of positive integer factors of 3346 that divides 3330 without a remainder.

1, 2, 7, 14, 239, 478, 1673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3330 and 3346. The biggest common factor number is the GCF number.
So the greatest common factor 3330 and 3346 is 2.

Also check out the Least Common Multiple of 3330 and 3346