Greatest Common Factor of 9309 and 9312

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 9309, 9312 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9309 and 9312 is 3.

GCF(9309,9312) = 3

GCF of 9309 and 9312

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

GCF of:
and

Greatest Common Factor of 9309 and 9312

GCF of 9309 and 9312 is 3

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

Prime Factorization of 9312


2 9312
2 4656
2 2328
2 1164
2 582
3 291
97 97
1

Prime factors of 9312 are 2,3,97. Prime factorization of 9312 in exponential form is:

9312 = 25×31×971

∴ So by taking common prime factors GCF of 9309 and 9312 is 3

Greatest Common Factor of 9309 and 9312 by matching factors method

Factors of 9309

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

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

Factors of 9312

List of positive integer factors of 9312 that divides 9312 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,97,194,291,388,582,776,1164,1552,2328,3104,4656,9312

Greatest Common Factor

We found the factors and prime factorization of 9309 and 9312. The biggest common factor number is the GCF number.
So the greatest common factor 9309 and 9312 is 3.

Also check out the Least Common Multiple of 9309 and 9312

Properties of GCF 9309 and 9312

(i) The GCF of 9309 and 9312 is associative

GCF of 9309 and 9312 = GCF of 9312 and 9309

Related Greatest Common Factor of 9309

Related Greatest Common Factor of 9312

Frequently Asked Questions on GCF of 9309 and 9312

1. What is the GCF of 9309 and 9312?

Answer: GCF of 9309 and 9312 is 3.

2. 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.

3. What are the Factors of 9312?

Answer: Factors of 9312 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 9312. There are 24 integers that are factors of 9312. The greatest factor of 9312 is 9312.

4. How to Find the GCF of 9309 and 9312?

Answer:

Greatest Common Factor of 9309 and 9312 = 3

Step 1: Find the prime factorization of 9309

9309 = 3 x 29 x 107

Step 2: Find the prime factorization of 9312

9312 = 2 x 2 x 2 x 2 x 2 x 3 x 97

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 9309 and 9312 is 3