What is the Greatest Common Factor of 3364 and 3374?

Greatest common factor (GCF) of 3364 and 3374 is 2.

GCF(3364,3374) = 2

We will now calculate the prime factors of 3364 and 3374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3364 and 3374.

How to find the GCF of 3364 and 3374?

We will first find the prime factorization of 3364 and 3374. After we will calculate the factors of 3364 and 3374 and find the biggest common factor number .

Step-1: Prime Factorization of 3364

Prime factors of 3364 are 2, 29. Prime factorization of 3364 in exponential form is:

3364 = 2² × 29²

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 3364

List of positive integer factors of 3364 that divides 3364 without a remainder.

1, 2, 4, 29, 58, 116, 841, 1682

Step-4: Factors of 3374

List of positive integer factors of 3374 that divides 3364 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3364 and 3374. The biggest common factor number is the GCF number.
So the greatest common factor 3364 and 3374 is 2.

Also check out the Least Common Multiple of 3364 and 3374