Greatest Common Factor of 9297 and 9303

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 9297, 9303 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9297 and 9303 is 3.

GCF(9297,9303) = 3

GCF of 9297 and 9303

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

GCF of:
and

Greatest Common Factor of 9297 and 9303

GCF of 9297 and 9303 is 3

Prime Factorization of 9297


3 9297
3 3099
1033 1033
1

Prime factors of 9297 are 3,1033. Prime factorization of 9297 in exponential form is:

9297 = 32×10331

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

∴ So by taking common prime factors GCF of 9297 and 9303 is 3

Greatest Common Factor of 9297 and 9303 by matching factors method

Factors of 9297

List of positive integer factors of 9297 that divides 9297 without a remainder.

1,3,9,1033,3099,9297

Factors of 9303

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

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

Greatest Common Factor

We found the factors and prime factorization of 9297 and 9303. The biggest common factor number is the GCF number.
So the greatest common factor 9297 and 9303 is 3.

Also check out the Least Common Multiple of 9297 and 9303

Properties of GCF 9297 and 9303

(i) The GCF of 9297 and 9303 is associative

GCF of 9297 and 9303 = GCF of 9303 and 9297

Related Greatest Common Factor of 9297

Related Greatest Common Factor of 9303

Frequently Asked Questions on GCF of 9297 and 9303

1. What is the GCF of 9297 and 9303?

Answer: GCF of 9297 and 9303 is 3.

2. What are the Factors of 9297?

Answer: Factors of 9297 are 1, 3, 9, 1033, 3099, 9297. There are 6 integers that are factors of 9297. The greatest factor of 9297 is 9297.

3. 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.

4. How to Find the GCF of 9297 and 9303?

Answer:

Greatest Common Factor of 9297 and 9303 = 3

Step 1: Find the prime factorization of 9297

9297 = 3 x 3 x 1033

Step 2: Find the prime factorization of 9303

9303 = 3 x 7 x 443

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 9297 and 9303 is 3