Greatest Common Factor of 324 and 330

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 324, 330 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 324 and 330 is 6.

GCF(324,330) = 6

GCF of 324 and 330

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

GCF of:
and

Greatest Common Factor of 324 and 330

GCF of 324 and 330 is 6

Prime Factorization of 324


2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 324 are 2,3. Prime factorization of 324 in exponential form is:

324 = 22×34

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

∴ So by taking common prime factors GCF of 324 and 330 is 6

Greatest Common Factor of 324 and 330 by matching factors method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

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

Greatest Common Factor

We found the factors and prime factorization of 324 and 330. The biggest common factor number is the GCF number.
So the greatest common factor 324 and 330 is 6.

Also check out the Least Common Multiple of 324 and 330

Properties of GCF 324 and 330

(i) The GCF of 324 and 330 is associative

GCF of 324 and 330 = GCF of 330 and 324

Related Greatest Common Factor of 324

Related Greatest Common Factor of 330

Frequently Asked Questions on GCF of 324 and 330

1. What is the GCF of 324 and 330?

Answer: GCF of 324 and 330 is 6.

2. What are the Factors of 324?

Answer: Factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324. There are 15 integers that are factors of 324. The greatest factor of 324 is 324.

3. 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.

4. How to Find the GCF of 324 and 330?

Answer:

Greatest Common Factor of 324 and 330 = 6

Step 1: Find the prime factorization of 324

324 = 2 x 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 324 and 330 is 6