Greatest Common Factor of 9333 and 9339

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 9333, 9339 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9333 and 9339 is 3.

GCF(9333,9339) = 3

GCF of 9333 and 9339

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

GCF of:
and

Greatest Common Factor of 9333 and 9339

GCF of 9333 and 9339 is 3

Prime Factorization of 9333


3 9333
3 3111
17 1037
61 61
1

Prime factors of 9333 are 3,17,61. Prime factorization of 9333 in exponential form is:

9333 = 32×171×611

Prime Factorization of 9339


3 9339
11 3113
283 283
1

Prime factors of 9339 are 3,11,283. Prime factorization of 9339 in exponential form is:

9339 = 31×111×2831

∴ So by taking common prime factors GCF of 9333 and 9339 is 3

Greatest Common Factor of 9333 and 9339 by matching factors method

Factors of 9333

List of positive integer factors of 9333 that divides 9333 without a remainder.

1,3,9,17,51,61,153,183,549,1037,3111,9333

Factors of 9339

List of positive integer factors of 9339 that divides 9339 without a remainder.

1,3,11,33,283,849,3113,9339

Greatest Common Factor

We found the factors and prime factorization of 9333 and 9339. The biggest common factor number is the GCF number.
So the greatest common factor 9333 and 9339 is 3.

Also check out the Least Common Multiple of 9333 and 9339

Properties of GCF 9333 and 9339

(i) The GCF of 9333 and 9339 is associative

GCF of 9333 and 9339 = GCF of 9339 and 9333

Related Greatest Common Factor of 9333

Related Greatest Common Factor of 9339

Frequently Asked Questions on GCF of 9333 and 9339

1. What is the GCF of 9333 and 9339?

Answer: GCF of 9333 and 9339 is 3.

2. What are the Factors of 9333?

Answer: Factors of 9333 are 1, 3, 9, 17, 51, 61, 153, 183, 549, 1037, 3111, 9333. There are 12 integers that are factors of 9333. The greatest factor of 9333 is 9333.

3. What are the Factors of 9339?

Answer: Factors of 9339 are 1, 3, 11, 33, 283, 849, 3113, 9339. There are 8 integers that are factors of 9339. The greatest factor of 9339 is 9339.

4. How to Find the GCF of 9333 and 9339?

Answer:

Greatest Common Factor of 9333 and 9339 = 3

Step 1: Find the prime factorization of 9333

9333 = 3 x 3 x 17 x 61

Step 2: Find the prime factorization of 9339

9339 = 3 x 11 x 283

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 9333 and 9339 is 3