Greatest Common Factor of 8349 and 8354

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, 8354 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8349 and 8354 is 1.

GCF(8349,8354) = 1

GCF of 8349 and 8354

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

GCF of:
and

Greatest Common Factor of 8349 and 8354

GCF of 8349 and 8354 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 8354


2 8354
4177 4177
1

Prime factors of 8354 are 2,4177. Prime factorization of 8354 in exponential form is:

8354 = 21×41771

∴ So by taking common prime factors GCF of 8349 and 8354 is 1

Greatest Common Factor of 8349 and 8354 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 8354

List of positive integer factors of 8354 that divides 8354 without a remainder.

1,2,4177,8354

Greatest Common Factor

We found the factors and prime factorization of 8349 and 8354. The biggest common factor number is the GCF number.
So the greatest common factor 8349 and 8354 is 1.

Also check out the Least Common Multiple of 8349 and 8354

Properties of GCF 8349 and 8354

(i) The GCF of 8349 and 8354 is associative

GCF of 8349 and 8354 = GCF of 8354 and 8349

Related Greatest Common Factor of 8349

Related Greatest Common Factor of 8354

Frequently Asked Questions on GCF of 8349 and 8354

1. What is the GCF of 8349 and 8354?

Answer: GCF of 8349 and 8354 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 8354?

Answer: Factors of 8354 are 1, 2, 4177, 8354. There are 4 integers that are factors of 8354. The greatest factor of 8354 is 8354.

4. How to Find the GCF of 8349 and 8354?

Answer:

Greatest Common Factor of 8349 and 8354 = 1

Step 1: Find the prime factorization of 8349

8349 = 3 x 11 x 11 x 23

Step 2: Find the prime factorization of 8354

8354 = 2 x 4177

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 8354 is 1