Greatest Common Factor of 9303 and 9309

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 9303, 9309 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9303 and 9309 is 3.

GCF(9303,9309) = 3

GCF of 9303 and 9309

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

GCF of:
and

Greatest Common Factor of 9303 and 9309

GCF of 9303 and 9309 is 3

Prime Factorization of 9303


3 9303
7 3101
443 443
1

Prime factors of 9303 are 3,7,443. Prime factorization of 9303 in exponential form is:

9303 = 31×71×4431

Prime Factorization of 9309


3 9309
29 3103
107 107
1

Prime factors of 9309 are 3,29,107. Prime factorization of 9309 in exponential form is:

9309 = 31×291×1071

∴ So by taking common prime factors GCF of 9303 and 9309 is 3

Greatest Common Factor of 9303 and 9309 by matching factors method

Factors of 9303

List of positive integer factors of 9303 that divides 9303 without a remainder.

1,3,7,21,443,1329,3101,9303

Factors of 9309

List of positive integer factors of 9309 that divides 9309 without a remainder.

1,3,29,87,107,321,3103,9309

Greatest Common Factor

We found the factors and prime factorization of 9303 and 9309. The biggest common factor number is the GCF number.
So the greatest common factor 9303 and 9309 is 3.

Also check out the Least Common Multiple of 9303 and 9309

Properties of GCF 9303 and 9309

(i) The GCF of 9303 and 9309 is associative

GCF of 9303 and 9309 = GCF of 9309 and 9303

Related Greatest Common Factor of 9303

Related Greatest Common Factor of 9309

Frequently Asked Questions on GCF of 9303 and 9309

1. What is the GCF of 9303 and 9309?

Answer: GCF of 9303 and 9309 is 3.

2. What are the Factors of 9303?

Answer: Factors of 9303 are 1, 3, 7, 21, 443, 1329, 3101, 9303. There are 8 integers that are factors of 9303. The greatest factor of 9303 is 9303.

3. What are the Factors of 9309?

Answer: Factors of 9309 are 1, 3, 29, 87, 107, 321, 3103, 9309. There are 8 integers that are factors of 9309. The greatest factor of 9309 is 9309.

4. How to Find the GCF of 9303 and 9309?

Answer:

Greatest Common Factor of 9303 and 9309 = 3

Step 1: Find the prime factorization of 9303

9303 = 3 x 7 x 443

Step 2: Find the prime factorization of 9309

9309 = 3 x 29 x 107

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 9303 and 9309 is 3