What is the Greatest Common Factor of 3339 and 3346?

Greatest common factor (GCF) of 3339 and 3346 is 7.

GCF(3339,3346) = 7

We will now calculate the prime factors of 3339 and 3346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3339 and 3346.

How to find the GCF of 3339 and 3346?

We will first find the prime factorization of 3339 and 3346. After we will calculate the factors of 3339 and 3346 and find the biggest common factor number .

Step-1: Prime Factorization of 3339

Prime factors of 3339 are 3, 7, 53. Prime factorization of 3339 in exponential form is:

3339 = 3² × 7¹ × 53¹

Step-2: Prime Factorization of 3346

Prime factors of 3346 are 2, 7, 239. Prime factorization of 3346 in exponential form is:

3346 = 2¹ × 7¹ × 239¹

Step-3: Factors of 3339

List of positive integer factors of 3339 that divides 3339 without a remainder.

1, 3, 7, 9, 21, 53, 63, 159, 371, 477, 1113

Step-4: Factors of 3346

List of positive integer factors of 3346 that divides 3339 without a remainder.

1, 2, 7, 14, 239, 478, 1673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3339 and 3346. The biggest common factor number is the GCF number.
So the greatest common factor 3339 and 3346 is 7.

Also check out the Least Common Multiple of 3339 and 3346