What is the Greatest Common Factor of 3334 and 3344?

Greatest common factor (GCF) of 3334 and 3344 is 2.

GCF(3334,3344) = 2

We will now calculate the prime factors of 3334 and 3344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3334 and 3344.

How to find the GCF of 3334 and 3344?

We will first find the prime factorization of 3334 and 3344. After we will calculate the factors of 3334 and 3344 and find the biggest common factor number .

Step-1: Prime Factorization of 3334

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

3334 = 2¹ × 1667¹

Step-2: Prime Factorization of 3344

Prime factors of 3344 are 2, 11, 19. Prime factorization of 3344 in exponential form is:

3344 = 2⁴ × 11¹ × 19¹

Step-3: Factors of 3334

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

1, 2, 1667

Step-4: Factors of 3344

List of positive integer factors of 3344 that divides 3334 without a remainder.

1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 152, 176, 209, 304, 418, 836, 1672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3334 and 3344. The biggest common factor number is the GCF number.
So the greatest common factor 3334 and 3344 is 2.

Also check out the Least Common Multiple of 3334 and 3344