Greatest Common Factor of 330 and 333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 330, 333 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 330 and 333 is 3.

GCF(330,333) = 3

GCF of 330 and 333

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 330 and 333

GCF of 330 and 333 is 3

Prime Factorization of 330


2 330
3 165
5 55
11 11
1

Prime factors of 330 are 2,3,5,11. Prime factorization of 330 in exponential form is:

330 = 21×31×51×111

Prime Factorization of 333


3 333
3 111
37 37
1

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

333 = 32×371

∴ So by taking common prime factors GCF of 330 and 333 is 3

Greatest Common Factor of 330 and 333 by matching factors method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 333

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

1,3,9,37,111,333

Greatest Common Factor

We found the factors and prime factorization of 330 and 333. The biggest common factor number is the GCF number.
So the greatest common factor 330 and 333 is 3.

Also check out the Least Common Multiple of 330 and 333

Properties of GCF 330 and 333

(i) The GCF of 330 and 333 is associative

GCF of 330 and 333 = GCF of 333 and 330

Related Greatest Common Factor of 330

Related Greatest Common Factor of 333

Frequently Asked Questions on GCF of 330 and 333

1. What is the GCF of 330 and 333?

Answer: GCF of 330 and 333 is 3.

2. What are the Factors of 330?

Answer: Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. There are 16 integers that are factors of 330. The greatest factor of 330 is 330.

3. What are the Factors of 333?

Answer: Factors of 333 are 1, 3, 9, 37, 111, 333. There are 6 integers that are factors of 333. The greatest factor of 333 is 333.

4. How to Find the GCF of 330 and 333?

Answer:

Greatest Common Factor of 330 and 333 = 3

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 333

333 = 3 x 3 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 330 and 333 is 3