Greatest Common Factor of 8303 and 8307

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, 8307 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8303 and 8307 is 1.

GCF(8303,8307) = 1

GCF of 8303 and 8307

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

GCF of:
and

Greatest Common Factor of 8303 and 8307

GCF of 8303 and 8307 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 8307


3 8307
3 2769
13 923
71 71
1

Prime factors of 8307 are 3,13,71. Prime factorization of 8307 in exponential form is:

8307 = 32×131×711

∴ So by taking common prime factors GCF of 8303 and 8307 is 1

Greatest Common Factor of 8303 and 8307 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 8307

List of positive integer factors of 8307 that divides 8307 without a remainder.

1,3,9,13,39,71,117,213,639,923,2769,8307

Greatest Common Factor

We found the factors and prime factorization of 8303 and 8307. The biggest common factor number is the GCF number.
So the greatest common factor 8303 and 8307 is 1.

Also check out the Least Common Multiple of 8303 and 8307

Properties of GCF 8303 and 8307

(i) The GCF of 8303 and 8307 is associative

GCF of 8303 and 8307 = GCF of 8307 and 8303

Related Greatest Common Factor of 8303

Related Greatest Common Factor of 8307

Frequently Asked Questions on GCF of 8303 and 8307

1. What is the GCF of 8303 and 8307?

Answer: GCF of 8303 and 8307 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 8307?

Answer: Factors of 8307 are 1, 3, 9, 13, 39, 71, 117, 213, 639, 923, 2769, 8307. There are 12 integers that are factors of 8307. The greatest factor of 8307 is 8307.

4. How to Find the GCF of 8303 and 8307?

Answer:

Greatest Common Factor of 8303 and 8307 = 1

Step 1: Find the prime factorization of 8303

8303 = 19 x 19 x 23

Step 2: Find the prime factorization of 8307

8307 = 3 x 3 x 13 x 71

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 8307 is 1