What is the Greatest Common Factor of 3339 and 3345?

Greatest common factor (GCF) of 3339 and 3345 is 3.

GCF(3339,3345) = 3

We will now calculate the prime factors of 3339 and 3345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3339 and 3345.

How to find the GCF of 3339 and 3345?

We will first find the prime factorization of 3339 and 3345. After we will calculate the factors of 3339 and 3345 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 3345

Prime factors of 3345 are 3, 5, 223. Prime factorization of 3345 in exponential form is:

3345 = 3¹ × 5¹ × 223¹

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 3345

List of positive integer factors of 3345 that divides 3339 without a remainder.

1, 3, 5, 15, 223, 669, 1115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3339 and 3345. The biggest common factor number is the GCF number.
So the greatest common factor 3339 and 3345 is 3.

Also check out the Least Common Multiple of 3339 and 3345