Greatest Common Factor of 6394 and 6400

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 6394, 6400 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6394 and 6400 is 2.

GCF(6394,6400) = 2

GCF of 6394 and 6400

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

GCF of:
and

Greatest Common Factor of 6394 and 6400

GCF of 6394 and 6400 is 2

Prime Factorization of 6394


2 6394
23 3197
139 139
1

Prime factors of 6394 are 2,23,139. Prime factorization of 6394 in exponential form is:

6394 = 21×231×1391

Prime Factorization of 6400


2 6400
2 3200
2 1600
2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 6400 are 2,5. Prime factorization of 6400 in exponential form is:

6400 = 28×52

∴ So by taking common prime factors GCF of 6394 and 6400 is 2

Greatest Common Factor of 6394 and 6400 by matching factors method

Factors of 6394

List of positive integer factors of 6394 that divides 6394 without a remainder.

1,2,23,46,139,278,3197,6394

Factors of 6400

List of positive integer factors of 6400 that divides 6400 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,256,320,400,640,800,1280,1600,3200,6400

Greatest Common Factor

We found the factors and prime factorization of 6394 and 6400. The biggest common factor number is the GCF number.
So the greatest common factor 6394 and 6400 is 2.

Also check out the Least Common Multiple of 6394 and 6400

Properties of GCF 6394 and 6400

(i) The GCF of 6394 and 6400 is associative

GCF of 6394 and 6400 = GCF of 6400 and 6394

Related Greatest Common Factor of 6394

Related Greatest Common Factor of 6400

Frequently Asked Questions on GCF of 6394 and 6400

1. What is the GCF of 6394 and 6400?

Answer: GCF of 6394 and 6400 is 2.

2. What are the Factors of 6394?

Answer: Factors of 6394 are 1, 2, 23, 46, 139, 278, 3197, 6394. There are 8 integers that are factors of 6394. The greatest factor of 6394 is 6394.

3. What are the Factors of 6400?

Answer: Factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400. There are 27 integers that are factors of 6400. The greatest factor of 6400 is 6400.

4. How to Find the GCF of 6394 and 6400?

Answer:

Greatest Common Factor of 6394 and 6400 = 2

Step 1: Find the prime factorization of 6394

6394 = 2 x 23 x 139

Step 2: Find the prime factorization of 6400

6400 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5

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 6394 and 6400 is 2