What is the Greatest Common Factor of 3338 and 3344?

Greatest common factor (GCF) of 3338 and 3344 is 2.

GCF(3338,3344) = 2

We will now calculate the prime factors of 3338 and 3344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3338 and 3344.

How to find the GCF of 3338 and 3344?

We will first find the prime factorization of 3338 and 3344. After we will calculate the factors of 3338 and 3344 and find the biggest common factor number .

Step-1: Prime Factorization of 3338

Prime factors of 3338 are 2, 1669. Prime factorization of 3338 in exponential form is:

3338 = 2¹ × 1669¹

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 3338

List of positive integer factors of 3338 that divides 3338 without a remainder.

1, 2, 1669

Step-4: Factors of 3344

List of positive integer factors of 3344 that divides 3338 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 3338 and 3344. The biggest common factor number is the GCF number.
So the greatest common factor 3338 and 3344 is 2.

Also check out the Least Common Multiple of 3338 and 3344