Greatest Common Factor of 9303 and 9306

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, 9306 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9303 and 9306 is 3.

GCF(9303,9306) = 3

GCF of 9303 and 9306

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

GCF of:
and

Greatest Common Factor of 9303 and 9306

GCF of 9303 and 9306 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 9306


2 9306
3 4653
3 1551
11 517
47 47
1

Prime factors of 9306 are 2,3,11,47. Prime factorization of 9306 in exponential form is:

9306 = 21×32×111×471

∴ So by taking common prime factors GCF of 9303 and 9306 is 3

Greatest Common Factor of 9303 and 9306 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 9306

List of positive integer factors of 9306 that divides 9306 without a remainder.

1,2,3,6,9,11,18,22,33,47,66,94,99,141,198,282,423,517,846,1034,1551,3102,4653,9306

Greatest Common Factor

We found the factors and prime factorization of 9303 and 9306. The biggest common factor number is the GCF number.
So the greatest common factor 9303 and 9306 is 3.

Also check out the Least Common Multiple of 9303 and 9306

Properties of GCF 9303 and 9306

(i) The GCF of 9303 and 9306 is associative

GCF of 9303 and 9306 = GCF of 9306 and 9303

Related Greatest Common Factor of 9303

Related Greatest Common Factor of 9306

Frequently Asked Questions on GCF of 9303 and 9306

1. What is the GCF of 9303 and 9306?

Answer: GCF of 9303 and 9306 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 9306?

Answer: Factors of 9306 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 47, 66, 94, 99, 141, 198, 282, 423, 517, 846, 1034, 1551, 3102, 4653, 9306. There are 24 integers that are factors of 9306. The greatest factor of 9306 is 9306.

4. How to Find the GCF of 9303 and 9306?

Answer:

Greatest Common Factor of 9303 and 9306 = 3

Step 1: Find the prime factorization of 9303

9303 = 3 x 7 x 443

Step 2: Find the prime factorization of 9306

9306 = 2 x 3 x 3 x 11 x 47

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 9306 is 3