What is the Greatest Common Factor of 333 and 345?

Greatest common factor (GCF) of 333 and 345 is 3.

GCF(333,345) = 3

We will now calculate the prime factors of 333 and 345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 333 and 345.

How to find the GCF of 333 and 345?

We will first find the prime factorization of 333 and 345. After we will calculate the factors of 333 and 345 and find the biggest common factor number .

Step-1: Prime Factorization of 333

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

333 = 3² × 37¹

Step-2: Prime Factorization of 345

Prime factors of 345 are 3, 5, 23. Prime factorization of 345 in exponential form is:

345 = 3¹ × 5¹ × 23¹

Step-3: Factors of 333

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

1, 3, 9, 37, 111

Step-4: Factors of 345

List of positive integer factors of 345 that divides 333 without a remainder.

1, 3, 5, 15, 23, 69, 115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 333 and 345. The biggest common factor number is the GCF number.
So the greatest common factor 333 and 345 is 3.

Also check out the Least Common Multiple of 333 and 345