Greatest Common Factor of 9309 and 9317

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, 9317 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9309 and 9317 is 1.

GCF(9309,9317) = 1

GCF of 9309 and 9317

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

GCF of:
and

Greatest Common Factor of 9309 and 9317

GCF of 9309 and 9317 is 1

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 9317


7 9317
11 1331
11 121
11 11
1

Prime factors of 9317 are 7,11. Prime factorization of 9317 in exponential form is:

9317 = 71×113

∴ So by taking common prime factors GCF of 9309 and 9317 is 1

Greatest Common Factor of 9309 and 9317 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 9317

List of positive integer factors of 9317 that divides 9317 without a remainder.

1,7,11,77,121,847,1331,9317

Greatest Common Factor

We found the factors and prime factorization of 9309 and 9317. The biggest common factor number is the GCF number.
So the greatest common factor 9309 and 9317 is 1.

Also check out the Least Common Multiple of 9309 and 9317

Properties of GCF 9309 and 9317

(i) The GCF of 9309 and 9317 is associative

GCF of 9309 and 9317 = GCF of 9317 and 9309

Related Greatest Common Factor of 9309

Related Greatest Common Factor of 9317

Frequently Asked Questions on GCF of 9309 and 9317

1. What is the GCF of 9309 and 9317?

Answer: GCF of 9309 and 9317 is 1.

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 9317?

Answer: Factors of 9317 are 1, 7, 11, 77, 121, 847, 1331, 9317. There are 8 integers that are factors of 9317. The greatest factor of 9317 is 9317.

4. How to Find the GCF of 9309 and 9317?

Answer:

Greatest Common Factor of 9309 and 9317 = 1

Step 1: Find the prime factorization of 9309

9309 = 3 x 29 x 107

Step 2: Find the prime factorization of 9317

9317 = 7 x 11 x 11 x 11

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 9309 and 9317 is 1