Greatest Common Factor of 8349 and 8353

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 8349, 8353 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8349 and 8353 is 1.

GCF(8349,8353) = 1

GCF of 8349 and 8353

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

GCF of:
and

Greatest Common Factor of 8349 and 8353

GCF of 8349 and 8353 is 1

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

Prime Factorization of 8353


8353 8353
1

Prime factors of 8353 are 8353. Prime factorization of 8353 in exponential form is:

8353 = 83531

∴ So by taking common prime factors GCF of 8349 and 8353 is 1

Greatest Common Factor of 8349 and 8353 by matching factors method

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

Factors of 8353

List of positive integer factors of 8353 that divides 8353 without a remainder.

1,8353

Greatest Common Factor

We found the factors and prime factorization of 8349 and 8353. The biggest common factor number is the GCF number.
So the greatest common factor 8349 and 8353 is 1.

Also check out the Least Common Multiple of 8349 and 8353

Properties of GCF 8349 and 8353

(i) The GCF of 8349 and 8353 is associative

GCF of 8349 and 8353 = GCF of 8353 and 8349

Related Greatest Common Factor of 8349

Related Greatest Common Factor of 8353

Frequently Asked Questions on GCF of 8349 and 8353

1. What is the GCF of 8349 and 8353?

Answer: GCF of 8349 and 8353 is 1.

2. 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.

3. What are the Factors of 8353?

Answer: Factors of 8353 are 1, 8353. There are 2 integers that are factors of 8353. The greatest factor of 8353 is 8353.

4. How to Find the GCF of 8349 and 8353?

Answer:

Greatest Common Factor of 8349 and 8353 = 1

Step 1: Find the prime factorization of 8349

8349 = 3 x 11 x 11 x 23

Step 2: Find the prime factorization of 8353

8353 = 8353

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 8349 and 8353 is 1