What is the Greatest Common Factor of 3366 and 3374?

Greatest common factor (GCF) of 3366 and 3374 is 2.

GCF(3366,3374) = 2

We will now calculate the prime factors of 3366 and 3374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3366 and 3374.

How to find the GCF of 3366 and 3374?

We will first find the prime factorization of 3366 and 3374. After we will calculate the factors of 3366 and 3374 and find the biggest common factor number .

Step-1: Prime Factorization of 3366

Prime factors of 3366 are 2, 3, 11, 17. Prime factorization of 3366 in exponential form is:

3366 = 2¹ × 3² × 11¹ × 17¹

Step-2: Prime Factorization of 3374

Prime factors of 3374 are 2, 7, 241. Prime factorization of 3374 in exponential form is:

3374 = 2¹ × 7¹ × 241¹

Step-3: Factors of 3366

List of positive integer factors of 3366 that divides 3366 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683

Step-4: Factors of 3374

List of positive integer factors of 3374 that divides 3366 without a remainder.

1, 2, 7, 14, 241, 482, 1687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3366 and 3374. The biggest common factor number is the GCF number.
So the greatest common factor 3366 and 3374 is 2.

Also check out the Least Common Multiple of 3366 and 3374