Greatest Common Factor of 8320 and 8323

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 8320, 8323 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8320 and 8323 is 1.

GCF(8320,8323) = 1

GCF of 8320 and 8323

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

GCF of:
and

Greatest Common Factor of 8320 and 8323

GCF of 8320 and 8323 is 1

Prime Factorization of 8320


2 8320
2 4160
2 2080
2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 8320 are 2,5,13. Prime factorization of 8320 in exponential form is:

8320 = 27×51×131

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

∴ So by taking common prime factors GCF of 8320 and 8323 is 1

Greatest Common Factor of 8320 and 8323 by matching factors method

Factors of 8320

List of positive integer factors of 8320 that divides 8320 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,128,130,160,208,260,320,416,520,640,832,1040,1664,2080,4160,8320

Factors of 8323

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

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

Greatest Common Factor

We found the factors and prime factorization of 8320 and 8323. The biggest common factor number is the GCF number.
So the greatest common factor 8320 and 8323 is 1.

Also check out the Least Common Multiple of 8320 and 8323

Properties of GCF 8320 and 8323

(i) The GCF of 8320 and 8323 is associative

GCF of 8320 and 8323 = GCF of 8323 and 8320

Related Greatest Common Factor of 8320

Related Greatest Common Factor of 8323

Frequently Asked Questions on GCF of 8320 and 8323

1. What is the GCF of 8320 and 8323?

Answer: GCF of 8320 and 8323 is 1.

2. What are the Factors of 8320?

Answer: Factors of 8320 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160, 8320. There are 32 integers that are factors of 8320. The greatest factor of 8320 is 8320.

3. 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.

4. How to Find the GCF of 8320 and 8323?

Answer:

Greatest Common Factor of 8320 and 8323 = 1

Step 1: Find the prime factorization of 8320

8320 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 8323

8323 = 7 x 29 x 41

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 8320 and 8323 is 1