Greatest Common Factor of 333 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 333, 336 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 333 and 336 is 3.

GCF(333,336) = 3

GCF of 333 and 336

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

GCF of:
and

Greatest Common Factor of 333 and 336

GCF of 333 and 336 is 3

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

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 333 and 336 is 3

Greatest Common Factor of 333 and 336 by matching factors method

Factors of 333

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

1,3,9,37,111,333

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 333 and 336. The biggest common factor number is the GCF number.
So the greatest common factor 333 and 336 is 3.

Also check out the Least Common Multiple of 333 and 336

Properties of GCF 333 and 336

(i) The GCF of 333 and 336 is associative

GCF of 333 and 336 = GCF of 336 and 333

Related Greatest Common Factor of 333

Related Greatest Common Factor of 336

Frequently Asked Questions on GCF of 333 and 336

1. What is the GCF of 333 and 336?

Answer: GCF of 333 and 336 is 3.

2. 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.

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 333 and 336?

Answer:

Greatest Common Factor of 333 and 336 = 3

Step 1: Find the prime factorization of 333

333 = 3 x 3 x 37

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 = 3

Step 4: Therefore, the greatest common factor of 333 and 336 is 3