Greatest Common Factor of 8397 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 8397, 8400 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8397 and 8400 is 3.

GCF(8397,8400) = 3

GCF of 8397 and 8400

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

GCF of:
and

Greatest Common Factor of 8397 and 8400

GCF of 8397 and 8400 is 3

Prime Factorization of 8397


3 8397
3 2799
3 933
311 311
1

Prime factors of 8397 are 3,311. Prime factorization of 8397 in exponential form is:

8397 = 33×3111

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 8397 and 8400 is 3

Greatest Common Factor of 8397 and 8400 by matching factors method

Factors of 8397

List of positive integer factors of 8397 that divides 8397 without a remainder.

1,3,9,27,311,933,2799,8397

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 8397 and 8400. The biggest common factor number is the GCF number.
So the greatest common factor 8397 and 8400 is 3.

Also check out the Least Common Multiple of 8397 and 8400

Properties of GCF 8397 and 8400

(i) The GCF of 8397 and 8400 is associative

GCF of 8397 and 8400 = GCF of 8400 and 8397

Related Greatest Common Factor of 8397

Related Greatest Common Factor of 8400

Frequently Asked Questions on GCF of 8397 and 8400

1. What is the GCF of 8397 and 8400?

Answer: GCF of 8397 and 8400 is 3.

2. What are the Factors of 8397?

Answer: Factors of 8397 are 1, 3, 9, 27, 311, 933, 2799, 8397. There are 8 integers that are factors of 8397. The greatest factor of 8397 is 8397.

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 8397 and 8400?

Answer:

Greatest Common Factor of 8397 and 8400 = 3

Step 1: Find the prime factorization of 8397

8397 = 3 x 3 x 3 x 311

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 = 3

Step 4: Therefore, the greatest common factor of 8397 and 8400 is 3