Greatest Common Factor of 330 and 336

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

Greatest common factor (GCF) of 330 and 336 is 6.

GCF(330,336) = 6

GCF of 330 and 336

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

GCF of:
and

Greatest Common Factor of 330 and 336

GCF of 330 and 336 is 6

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 336


2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 336 are 2,3,7. Prime factorization of 336 in exponential form is:

336 = 24×31×71

∴ So by taking common prime factors GCF of 330 and 336 is 6

Greatest Common Factor of 330 and 336 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 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors and prime factorization of 330 and 336. The biggest common factor number is the GCF number.
So the greatest common factor 330 and 336 is 6.

Also check out the Least Common Multiple of 330 and 336

Properties of GCF 330 and 336

(i) The GCF of 330 and 336 is associative

GCF of 330 and 336 = GCF of 336 and 330

Related Greatest Common Factor of 330

Related Greatest Common Factor of 336

Frequently Asked Questions on GCF of 330 and 336

1. What is the GCF of 330 and 336?

Answer: GCF of 330 and 336 is 6.

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 336?

Answer: Factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336. There are 20 integers that are factors of 336. The greatest factor of 336 is 336.

4. How to Find the GCF of 330 and 336?

Answer:

Greatest Common Factor of 330 and 336 = 6

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 336

336 = 2 x 2 x 2 x 2 x 3 x 7

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 330 and 336 is 6