Greatest Common Factor of 8303 and 8309

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 8303, 8309 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8303 and 8309 is 1.

GCF(8303,8309) = 1

GCF of 8303 and 8309

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

GCF of:
and

Greatest Common Factor of 8303 and 8309

GCF of 8303 and 8309 is 1

Prime Factorization of 8303


19 8303
19 437
23 23
1

Prime factors of 8303 are 19,23. Prime factorization of 8303 in exponential form is:

8303 = 192×231

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

∴ So by taking common prime factors GCF of 8303 and 8309 is 1

Greatest Common Factor of 8303 and 8309 by matching factors method

Factors of 8303

List of positive integer factors of 8303 that divides 8303 without a remainder.

1,19,23,361,437,8303

Factors of 8309

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

1,7,1187,8309

Greatest Common Factor

We found the factors and prime factorization of 8303 and 8309. The biggest common factor number is the GCF number.
So the greatest common factor 8303 and 8309 is 1.

Also check out the Least Common Multiple of 8303 and 8309

Properties of GCF 8303 and 8309

(i) The GCF of 8303 and 8309 is associative

GCF of 8303 and 8309 = GCF of 8309 and 8303

Related Greatest Common Factor of 8303

Related Greatest Common Factor of 8309

Frequently Asked Questions on GCF of 8303 and 8309

1. What is the GCF of 8303 and 8309?

Answer: GCF of 8303 and 8309 is 1.

2. What are the Factors of 8303?

Answer: Factors of 8303 are 1, 19, 23, 361, 437, 8303. There are 6 integers that are factors of 8303. The greatest factor of 8303 is 8303.

3. 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.

4. How to Find the GCF of 8303 and 8309?

Answer:

Greatest Common Factor of 8303 and 8309 = 1

Step 1: Find the prime factorization of 8303

8303 = 19 x 19 x 23

Step 2: Find the prime factorization of 8309

8309 = 7 x 1187

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 8303 and 8309 is 1