Greatest Common Factor of 8309 and 8317

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 8309, 8317 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8309 and 8317 is 1.

GCF(8309,8317) = 1

GCF of 8309 and 8317

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

GCF of:
and

Greatest Common Factor of 8309 and 8317

GCF of 8309 and 8317 is 1

Prime Factorization of 8309


7 8309
1187 1187
1

Prime factors of 8309 are 7,1187. Prime factorization of 8309 in exponential form is:

8309 = 71×11871

Prime Factorization of 8317


8317 8317
1

Prime factors of 8317 are 8317. Prime factorization of 8317 in exponential form is:

8317 = 83171

∴ So by taking common prime factors GCF of 8309 and 8317 is 1

Greatest Common Factor of 8309 and 8317 by matching factors method

Factors of 8309

List of positive integer factors of 8309 that divides 8309 without a remainder.

1,7,1187,8309

Factors of 8317

List of positive integer factors of 8317 that divides 8317 without a remainder.

1,8317

Greatest Common Factor

We found the factors and prime factorization of 8309 and 8317. The biggest common factor number is the GCF number.
So the greatest common factor 8309 and 8317 is 1.

Also check out the Least Common Multiple of 8309 and 8317

Properties of GCF 8309 and 8317

(i) The GCF of 8309 and 8317 is associative

GCF of 8309 and 8317 = GCF of 8317 and 8309

Related Greatest Common Factor of 8309

Related Greatest Common Factor of 8317

Frequently Asked Questions on GCF of 8309 and 8317

1. What is the GCF of 8309 and 8317?

Answer: GCF of 8309 and 8317 is 1.

2. What are the Factors of 8309?

Answer: Factors of 8309 are 1, 7, 1187, 8309. There are 4 integers that are factors of 8309. The greatest factor of 8309 is 8309.

3. What are the Factors of 8317?

Answer: Factors of 8317 are 1, 8317. There are 2 integers that are factors of 8317. The greatest factor of 8317 is 8317.

4. How to Find the GCF of 8309 and 8317?

Answer:

Greatest Common Factor of 8309 and 8317 = 1

Step 1: Find the prime factorization of 8309

8309 = 7 x 1187

Step 2: Find the prime factorization of 8317

8317 = 8317

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 8309 and 8317 is 1