What is the Greatest Common Factor of 3314 and 3334?

Greatest common factor (GCF) of 3314 and 3334 is 2.

GCF(3314,3334) = 2

We will now calculate the prime factors of 3314 and 3334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3314 and 3334.

How to find the GCF of 3314 and 3334?

We will first find the prime factorization of 3314 and 3334. After we will calculate the factors of 3314 and 3334 and find the biggest common factor number .

Step-1: Prime Factorization of 3314

Prime factors of 3314 are 2, 1657. Prime factorization of 3314 in exponential form is:

3314 = 2¹ × 1657¹

Step-2: Prime Factorization of 3334

Prime factors of 3334 are 2, 1667. Prime factorization of 3334 in exponential form is:

3334 = 2¹ × 1667¹

Step-3: Factors of 3314

List of positive integer factors of 3314 that divides 3314 without a remainder.

1, 2, 1657

Step-4: Factors of 3334

List of positive integer factors of 3334 that divides 3314 without a remainder.

1, 2, 1667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3314 and 3334. The biggest common factor number is the GCF number.
So the greatest common factor 3314 and 3334 is 2.

Also check out the Least Common Multiple of 3314 and 3334