Greatest Common Factor of 8396 and 8398

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 8396, 8398 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8396 and 8398 is 2.

GCF(8396,8398) = 2

GCF of 8396 and 8398

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

GCF of:
and

Greatest Common Factor of 8396 and 8398

GCF of 8396 and 8398 is 2

Prime Factorization of 8396


2 8396
2 4198
2099 2099
1

Prime factors of 8396 are 2,2099. Prime factorization of 8396 in exponential form is:

8396 = 22×20991

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

∴ So by taking common prime factors GCF of 8396 and 8398 is 2

Greatest Common Factor of 8396 and 8398 by matching factors method

Factors of 8396

List of positive integer factors of 8396 that divides 8396 without a remainder.

1,2,4,2099,4198,8396

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

Greatest Common Factor

We found the factors and prime factorization of 8396 and 8398. The biggest common factor number is the GCF number.
So the greatest common factor 8396 and 8398 is 2.

Also check out the Least Common Multiple of 8396 and 8398

Properties of GCF 8396 and 8398

(i) The GCF of 8396 and 8398 is associative

GCF of 8396 and 8398 = GCF of 8398 and 8396

Related Greatest Common Factor of 8396

Related Greatest Common Factor of 8398

Frequently Asked Questions on GCF of 8396 and 8398

1. What is the GCF of 8396 and 8398?

Answer: GCF of 8396 and 8398 is 2.

2. What are the Factors of 8396?

Answer: Factors of 8396 are 1, 2, 4, 2099, 4198, 8396. There are 6 integers that are factors of 8396. The greatest factor of 8396 is 8396.

3. 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.

4. How to Find the GCF of 8396 and 8398?

Answer:

Greatest Common Factor of 8396 and 8398 = 2

Step 1: Find the prime factorization of 8396

8396 = 2 x 2 x 2099

Step 2: Find the prime factorization of 8398

8398 = 2 x 13 x 17 x 19

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 8396 and 8398 is 2