Greatest Common Factor of 8299 and 8303

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 8299, 8303 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8299 and 8303 is 1.

GCF(8299,8303) = 1

GCF of 8299 and 8303

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

GCF of:
and

Greatest Common Factor of 8299 and 8303

GCF of 8299 and 8303 is 1

Prime Factorization of 8299


43 8299
193 193
1

Prime factors of 8299 are 43,193. Prime factorization of 8299 in exponential form is:

8299 = 431×1931

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

∴ So by taking common prime factors GCF of 8299 and 8303 is 1

Greatest Common Factor of 8299 and 8303 by matching factors method

Factors of 8299

List of positive integer factors of 8299 that divides 8299 without a remainder.

1,43,193,8299

Factors of 8303

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

1,19,23,361,437,8303

Greatest Common Factor

We found the factors and prime factorization of 8299 and 8303. The biggest common factor number is the GCF number.
So the greatest common factor 8299 and 8303 is 1.

Also check out the Least Common Multiple of 8299 and 8303

Properties of GCF 8299 and 8303

(i) The GCF of 8299 and 8303 is associative

GCF of 8299 and 8303 = GCF of 8303 and 8299

Related Greatest Common Factor of 8299

Related Greatest Common Factor of 8303

Frequently Asked Questions on GCF of 8299 and 8303

1. What is the GCF of 8299 and 8303?

Answer: GCF of 8299 and 8303 is 1.

2. What are the Factors of 8299?

Answer: Factors of 8299 are 1, 43, 193, 8299. There are 4 integers that are factors of 8299. The greatest factor of 8299 is 8299.

3. 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.

4. How to Find the GCF of 8299 and 8303?

Answer:

Greatest Common Factor of 8299 and 8303 = 1

Step 1: Find the prime factorization of 8299

8299 = 43 x 193

Step 2: Find the prime factorization of 8303

8303 = 19 x 19 x 23

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 8299 and 8303 is 1