Greatest Common Factor of 8323 and 8330

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 8323, 8330 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8323 and 8330 is 7.

GCF(8323,8330) = 7

GCF of 8323 and 8330

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

GCF of:
and

Greatest Common Factor of 8323 and 8330

GCF of 8323 and 8330 is 7

Prime Factorization of 8323


7 8323
29 1189
41 41
1

Prime factors of 8323 are 7,29,41. Prime factorization of 8323 in exponential form is:

8323 = 71×291×411

Prime Factorization of 8330


2 8330
5 4165
7 833
7 119
17 17
1

Prime factors of 8330 are 2,5,7,17. Prime factorization of 8330 in exponential form is:

8330 = 21×51×72×171

∴ So by taking common prime factors GCF of 8323 and 8330 is 7

Greatest Common Factor of 8323 and 8330 by matching factors method

Factors of 8323

List of positive integer factors of 8323 that divides 8323 without a remainder.

1,7,29,41,203,287,1189,8323

Factors of 8330

List of positive integer factors of 8330 that divides 8330 without a remainder.

1,2,5,7,10,14,17,34,35,49,70,85,98,119,170,238,245,490,595,833,1190,1666,4165,8330

Greatest Common Factor

We found the factors and prime factorization of 8323 and 8330. The biggest common factor number is the GCF number.
So the greatest common factor 8323 and 8330 is 7.

Also check out the Least Common Multiple of 8323 and 8330

Properties of GCF 8323 and 8330

(i) The GCF of 8323 and 8330 is associative

GCF of 8323 and 8330 = GCF of 8330 and 8323

Related Greatest Common Factor of 8323

Related Greatest Common Factor of 8330

Frequently Asked Questions on GCF of 8323 and 8330

1. What is the GCF of 8323 and 8330?

Answer: GCF of 8323 and 8330 is 7.

2. What are the Factors of 8323?

Answer: Factors of 8323 are 1, 7, 29, 41, 203, 287, 1189, 8323. There are 8 integers that are factors of 8323. The greatest factor of 8323 is 8323.

3. What are the Factors of 8330?

Answer: Factors of 8330 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330. There are 24 integers that are factors of 8330. The greatest factor of 8330 is 8330.

4. How to Find the GCF of 8323 and 8330?

Answer:

Greatest Common Factor of 8323 and 8330 = 7

Step 1: Find the prime factorization of 8323

8323 = 7 x 29 x 41

Step 2: Find the prime factorization of 8330

8330 = 2 x 5 x 7 x 7 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 8323 and 8330 is 7