What is the Greatest Common Factor of 3321 and 3333?

Greatest common factor (GCF) of 3321 and 3333 is 3.

GCF(3321,3333) = 3

We will now calculate the prime factors of 3321 and 3333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3321 and 3333.

How to find the GCF of 3321 and 3333?

We will first find the prime factorization of 3321 and 3333. After we will calculate the factors of 3321 and 3333 and find the biggest common factor number .

Step-1: Prime Factorization of 3321

Prime factors of 3321 are 3, 41. Prime factorization of 3321 in exponential form is:

3321 = 3⁴ × 41¹

Step-2: Prime Factorization of 3333

Prime factors of 3333 are 3, 11, 101. Prime factorization of 3333 in exponential form is:

3333 = 3¹ × 11¹ × 101¹

Step-3: Factors of 3321

List of positive integer factors of 3321 that divides 3321 without a remainder.

1, 3, 9, 27, 41, 81, 123, 369, 1107

Step-4: Factors of 3333

List of positive integer factors of 3333 that divides 3321 without a remainder.

1, 3, 11, 33, 101, 303, 1111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3321 and 3333. The biggest common factor number is the GCF number.
So the greatest common factor 3321 and 3333 is 3.

Also check out the Least Common Multiple of 3321 and 3333