What is the Greatest Common Factor of 3374 and 3381?

Greatest common factor (GCF) of 3374 and 3381 is 7.

GCF(3374,3381) = 7

We will now calculate the prime factors of 3374 and 3381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3374 and 3381.

How to find the GCF of 3374 and 3381?

We will first find the prime factorization of 3374 and 3381. After we will calculate the factors of 3374 and 3381 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3381

Prime factors of 3381 are 3, 7, 23. Prime factorization of 3381 in exponential form is:

3381 = 3¹ × 7² × 23¹

Step-3: Factors of 3374

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

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

Step-4: Factors of 3381

List of positive integer factors of 3381 that divides 3374 without a remainder.

1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 1127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3374 and 3381. The biggest common factor number is the GCF number.
So the greatest common factor 3374 and 3381 is 7.

Also check out the Least Common Multiple of 3374 and 3381