Greatest Common Factor of 9304 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 9304, 9309 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9304 and 9309 is 1.

GCF(9304,9309) = 1

GCF of 9304 and 9309

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

GCF of:
and

Greatest Common Factor of 9304 and 9309

GCF of 9304 and 9309 is 1

Prime Factorization of 9304


2 9304
2 4652
2 2326
1163 1163
1

Prime factors of 9304 are 2,1163. Prime factorization of 9304 in exponential form is:

9304 = 23×11631

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 9304 and 9309 is 1

Greatest Common Factor of 9304 and 9309 by matching factors method

Factors of 9304

List of positive integer factors of 9304 that divides 9304 without a remainder.

1,2,4,8,1163,2326,4652,9304

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 9304 and 9309. The biggest common factor number is the GCF number.
So the greatest common factor 9304 and 9309 is 1.

Also check out the Least Common Multiple of 9304 and 9309

Properties of GCF 9304 and 9309

(i) The GCF of 9304 and 9309 is associative

GCF of 9304 and 9309 = GCF of 9309 and 9304

Related Greatest Common Factor of 9304

Related Greatest Common Factor of 9309

Frequently Asked Questions on GCF of 9304 and 9309

1. What is the GCF of 9304 and 9309?

Answer: GCF of 9304 and 9309 is 1.

2. What are the Factors of 9304?

Answer: Factors of 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304. There are 8 integers that are factors of 9304. The greatest factor of 9304 is 9304.

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 9304 and 9309?

Answer:

Greatest Common Factor of 9304 and 9309 = 1

Step 1: Find the prime factorization of 9304

9304 = 2 x 2 x 2 x 1163

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 = = 1

Step 4: Therefore, the greatest common factor of 9304 and 9309 is 1