Greatest Common Factor of 9303 and 9310

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, 9310 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9303 and 9310 is 7.

GCF(9303,9310) = 7

GCF of 9303 and 9310

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

GCF of:
and

Greatest Common Factor of 9303 and 9310

GCF of 9303 and 9310 is 7

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 9310


2 9310
5 4655
7 931
7 133
19 19
1

Prime factors of 9310 are 2,5,7,19. Prime factorization of 9310 in exponential form is:

9310 = 21×51×72×191

∴ So by taking common prime factors GCF of 9303 and 9310 is 7

Greatest Common Factor of 9303 and 9310 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 9310

List of positive integer factors of 9310 that divides 9310 without a remainder.

1,2,5,7,10,14,19,35,38,49,70,95,98,133,190,245,266,490,665,931,1330,1862,4655,9310

Greatest Common Factor

We found the factors and prime factorization of 9303 and 9310. The biggest common factor number is the GCF number.
So the greatest common factor 9303 and 9310 is 7.

Also check out the Least Common Multiple of 9303 and 9310

Properties of GCF 9303 and 9310

(i) The GCF of 9303 and 9310 is associative

GCF of 9303 and 9310 = GCF of 9310 and 9303

Related Greatest Common Factor of 9303

Related Greatest Common Factor of 9310

Frequently Asked Questions on GCF of 9303 and 9310

1. What is the GCF of 9303 and 9310?

Answer: GCF of 9303 and 9310 is 7.

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 9310?

Answer: Factors of 9310 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310. There are 24 integers that are factors of 9310. The greatest factor of 9310 is 9310.

4. How to Find the GCF of 9303 and 9310?

Answer:

Greatest Common Factor of 9303 and 9310 = 7

Step 1: Find the prime factorization of 9303

9303 = 3 x 7 x 443

Step 2: Find the prime factorization of 9310

9310 = 2 x 5 x 7 x 7 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 9303 and 9310 is 7