Greatest Common Factor of 8398 and 8400

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, 8400 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8398 and 8400 is 2.

GCF(8398,8400) = 2

GCF of 8398 and 8400

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

GCF of:
and

Greatest Common Factor of 8398 and 8400

GCF of 8398 and 8400 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 8400


2 8400
2 4200
2 2100
2 1050
3 525
5 175
5 35
7 7
1

Prime factors of 8400 are 2,3,5,7. Prime factorization of 8400 in exponential form is:

8400 = 24×31×52×71

∴ So by taking common prime factors GCF of 8398 and 8400 is 2

Greatest Common Factor of 8398 and 8400 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 8400

List of positive integer factors of 8400 that divides 8400 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,140,150,168,175,200,210,240,280,300,336,350,400,420,525,560,600,700,840,1050,1200,1400,1680,2100,2800,4200,8400

Greatest Common Factor

We found the factors and prime factorization of 8398 and 8400. The biggest common factor number is the GCF number.
So the greatest common factor 8398 and 8400 is 2.

Also check out the Least Common Multiple of 8398 and 8400

Properties of GCF 8398 and 8400

(i) The GCF of 8398 and 8400 is associative

GCF of 8398 and 8400 = GCF of 8400 and 8398

Related Greatest Common Factor of 8398

Related Greatest Common Factor of 8400

Frequently Asked Questions on GCF of 8398 and 8400

1. What is the GCF of 8398 and 8400?

Answer: GCF of 8398 and 8400 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 8400?

Answer: Factors of 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400. There are 60 integers that are factors of 8400. The greatest factor of 8400 is 8400.

4. How to Find the GCF of 8398 and 8400?

Answer:

Greatest Common Factor of 8398 and 8400 = 2

Step 1: Find the prime factorization of 8398

8398 = 2 x 13 x 17 x 19

Step 2: Find the prime factorization of 8400

8400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7

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 8400 is 2