What is the Greatest Common Factor of 327 and 333?

Greatest common factor (GCF) of 327 and 333 is 3.

GCF(327,333) = 3

We will now calculate the prime factors of 327 and 333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 327 and 333.

How to find the GCF of 327 and 333?

We will first find the prime factorization of 327 and 333. After we will calculate the factors of 327 and 333 and find the biggest common factor number .

Step-1: Prime Factorization of 327

Prime factors of 327 are 3, 109. Prime factorization of 327 in exponential form is:

327 = 3¹ × 109¹

Step-2: Prime Factorization of 333

Prime factors of 333 are 3, 37. Prime factorization of 333 in exponential form is:

333 = 3² × 37¹

Step-3: Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1, 3, 109

Step-4: Factors of 333

List of positive integer factors of 333 that divides 327 without a remainder.

1, 3, 9, 37, 111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 327 and 333. The biggest common factor number is the GCF number.
So the greatest common factor 327 and 333 is 3.

Also check out the Least Common Multiple of 327 and 333