Greatest Common Factor of 8343 and 8349

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 8343, 8349 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8343 and 8349 is 3.

GCF(8343,8349) = 3

GCF of 8343 and 8349

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

GCF of:
and

Greatest Common Factor of 8343 and 8349

GCF of 8343 and 8349 is 3

Prime Factorization of 8343


3 8343
3 2781
3 927
3 309
103 103
1

Prime factors of 8343 are 3,103. Prime factorization of 8343 in exponential form is:

8343 = 34×1031

Prime Factorization of 8349


3 8349
11 2783
11 253
23 23
1

Prime factors of 8349 are 3,11,23. Prime factorization of 8349 in exponential form is:

8349 = 31×112×231

∴ So by taking common prime factors GCF of 8343 and 8349 is 3

Greatest Common Factor of 8343 and 8349 by matching factors method

Factors of 8343

List of positive integer factors of 8343 that divides 8343 without a remainder.

1,3,9,27,81,103,309,927,2781,8343

Factors of 8349

List of positive integer factors of 8349 that divides 8349 without a remainder.

1,3,11,23,33,69,121,253,363,759,2783,8349

Greatest Common Factor

We found the factors and prime factorization of 8343 and 8349. The biggest common factor number is the GCF number.
So the greatest common factor 8343 and 8349 is 3.

Also check out the Least Common Multiple of 8343 and 8349

Properties of GCF 8343 and 8349

(i) The GCF of 8343 and 8349 is associative

GCF of 8343 and 8349 = GCF of 8349 and 8343

Related Greatest Common Factor of 8343

Related Greatest Common Factor of 8349

Frequently Asked Questions on GCF of 8343 and 8349

1. What is the GCF of 8343 and 8349?

Answer: GCF of 8343 and 8349 is 3.

2. What are the Factors of 8343?

Answer: Factors of 8343 are 1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343. There are 10 integers that are factors of 8343. The greatest factor of 8343 is 8343.

3. What are the Factors of 8349?

Answer: Factors of 8349 are 1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349. There are 12 integers that are factors of 8349. The greatest factor of 8349 is 8349.

4. How to Find the GCF of 8343 and 8349?

Answer:

Greatest Common Factor of 8343 and 8349 = 3

Step 1: Find the prime factorization of 8343

8343 = 3 x 3 x 3 x 3 x 103

Step 2: Find the prime factorization of 8349

8349 = 3 x 11 x 11 x 23

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8343 and 8349 is 3