Greatest Common Factor of 8398 and 8404

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 8398, 8404 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8398 and 8404 is 2.

GCF(8398,8404) = 2

GCF of 8398 and 8404

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

GCF of:
and

Greatest Common Factor of 8398 and 8404

GCF of 8398 and 8404 is 2

Prime Factorization of 8398


2 8398
13 4199
17 323
19 19
1

Prime factors of 8398 are 2,13,17,19. Prime factorization of 8398 in exponential form is:

8398 = 21×131×171×191

Prime Factorization of 8404


2 8404
2 4202
11 2101
191 191
1

Prime factors of 8404 are 2,11,191. Prime factorization of 8404 in exponential form is:

8404 = 22×111×1911

∴ So by taking common prime factors GCF of 8398 and 8404 is 2

Greatest Common Factor of 8398 and 8404 by matching factors method

Factors of 8398

List of positive integer factors of 8398 that divides 8398 without a remainder.

1,2,13,17,19,26,34,38,221,247,323,442,494,646,4199,8398

Factors of 8404

List of positive integer factors of 8404 that divides 8404 without a remainder.

1,2,4,11,22,44,191,382,764,2101,4202,8404

Greatest Common Factor

We found the factors and prime factorization of 8398 and 8404. The biggest common factor number is the GCF number.
So the greatest common factor 8398 and 8404 is 2.

Also check out the Least Common Multiple of 8398 and 8404

Properties of GCF 8398 and 8404

(i) The GCF of 8398 and 8404 is associative

GCF of 8398 and 8404 = GCF of 8404 and 8398

Related Greatest Common Factor of 8398

Related Greatest Common Factor of 8404

Frequently Asked Questions on GCF of 8398 and 8404

1. What is the GCF of 8398 and 8404?

Answer: GCF of 8398 and 8404 is 2.

2. What are the Factors of 8398?

Answer: Factors of 8398 are 1, 2, 13, 17, 19, 26, 34, 38, 221, 247, 323, 442, 494, 646, 4199, 8398. There are 16 integers that are factors of 8398. The greatest factor of 8398 is 8398.

3. What are the Factors of 8404?

Answer: Factors of 8404 are 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404. There are 12 integers that are factors of 8404. The greatest factor of 8404 is 8404.

4. How to Find the GCF of 8398 and 8404?

Answer:

Greatest Common Factor of 8398 and 8404 = 2

Step 1: Find the prime factorization of 8398

8398 = 2 x 13 x 17 x 19

Step 2: Find the prime factorization of 8404

8404 = 2 x 2 x 11 x 191

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8398 and 8404 is 2