Greatest Common Factor of 8349 and 8355

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, 8355 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8349 and 8355 is 3.

GCF(8349,8355) = 3

GCF of 8349 and 8355

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

GCF of:
and

Greatest Common Factor of 8349 and 8355

GCF of 8349 and 8355 is 3

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 8355


3 8355
5 2785
557 557
1

Prime factors of 8355 are 3,5,557. Prime factorization of 8355 in exponential form is:

8355 = 31×51×5571

∴ So by taking common prime factors GCF of 8349 and 8355 is 3

Greatest Common Factor of 8349 and 8355 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 8355

List of positive integer factors of 8355 that divides 8355 without a remainder.

1,3,5,15,557,1671,2785,8355

Greatest Common Factor

We found the factors and prime factorization of 8349 and 8355. The biggest common factor number is the GCF number.
So the greatest common factor 8349 and 8355 is 3.

Also check out the Least Common Multiple of 8349 and 8355

Properties of GCF 8349 and 8355

(i) The GCF of 8349 and 8355 is associative

GCF of 8349 and 8355 = GCF of 8355 and 8349

Related Greatest Common Factor of 8349

Related Greatest Common Factor of 8355

Frequently Asked Questions on GCF of 8349 and 8355

1. What is the GCF of 8349 and 8355?

Answer: GCF of 8349 and 8355 is 3.

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 8355?

Answer: Factors of 8355 are 1, 3, 5, 15, 557, 1671, 2785, 8355. There are 8 integers that are factors of 8355. The greatest factor of 8355 is 8355.

4. How to Find the GCF of 8349 and 8355?

Answer:

Greatest Common Factor of 8349 and 8355 = 3

Step 1: Find the prime factorization of 8349

8349 = 3 x 11 x 11 x 23

Step 2: Find the prime factorization of 8355

8355 = 3 x 5 x 557

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 8349 and 8355 is 3