Greatest Common Factor of 6392 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 6392, 6400 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6392 and 6400 is 8.

GCF(6392,6400) = 8

GCF of 6392 and 6400

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

GCF of:
and

Greatest Common Factor of 6392 and 6400

GCF of 6392 and 6400 is 8

Prime Factorization of 6392


2 6392
2 3196
2 1598
17 799
47 47
1

Prime factors of 6392 are 2,17,47. Prime factorization of 6392 in exponential form is:

6392 = 23×171×471

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 6392 and 6400 is 8

Greatest Common Factor of 6392 and 6400 by matching factors method

Factors of 6392

List of positive integer factors of 6392 that divides 6392 without a remainder.

1,2,4,8,17,34,47,68,94,136,188,376,799,1598,3196,6392

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 6392 and 6400. The biggest common factor number is the GCF number.
So the greatest common factor 6392 and 6400 is 8.

Also check out the Least Common Multiple of 6392 and 6400

Properties of GCF 6392 and 6400

(i) The GCF of 6392 and 6400 is associative

GCF of 6392 and 6400 = GCF of 6400 and 6392

Related Greatest Common Factor of 6392

Related Greatest Common Factor of 6400

Frequently Asked Questions on GCF of 6392 and 6400

1. What is the GCF of 6392 and 6400?

Answer: GCF of 6392 and 6400 is 8.

2. What are the Factors of 6392?

Answer: Factors of 6392 are 1, 2, 4, 8, 17, 34, 47, 68, 94, 136, 188, 376, 799, 1598, 3196, 6392. There are 16 integers that are factors of 6392. The greatest factor of 6392 is 6392.

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 6392 and 6400?

Answer:

Greatest Common Factor of 6392 and 6400 = 8

Step 1: Find the prime factorization of 6392

6392 = 2 x 2 x 2 x 17 x 47

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 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 6392 and 6400 is 8