Greatest Common Factor of 6400 and 6405

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 6400, 6405 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6400 and 6405 is 5.

GCF(6400,6405) = 5

GCF of 6400 and 6405

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

GCF of:
and

Greatest Common Factor of 6400 and 6405

GCF of 6400 and 6405 is 5

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

Prime Factorization of 6405


3 6405
5 2135
7 427
61 61
1

Prime factors of 6405 are 3,5,7,61. Prime factorization of 6405 in exponential form is:

6405 = 31×51×71×611

∴ So by taking common prime factors GCF of 6400 and 6405 is 5

Greatest Common Factor of 6400 and 6405 by matching factors method

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

Factors of 6405

List of positive integer factors of 6405 that divides 6405 without a remainder.

1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405

Greatest Common Factor

We found the factors and prime factorization of 6400 and 6405. The biggest common factor number is the GCF number.
So the greatest common factor 6400 and 6405 is 5.

Also check out the Least Common Multiple of 6400 and 6405

Properties of GCF 6400 and 6405

(i) The GCF of 6400 and 6405 is associative

GCF of 6400 and 6405 = GCF of 6405 and 6400

Related Greatest Common Factor of 6400

Related Greatest Common Factor of 6405

Frequently Asked Questions on GCF of 6400 and 6405

1. What is the GCF of 6400 and 6405?

Answer: GCF of 6400 and 6405 is 5.

2. 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.

3. What are the Factors of 6405?

Answer: Factors of 6405 are 1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405. There are 16 integers that are factors of 6405. The greatest factor of 6405 is 6405.

4. How to Find the GCF of 6400 and 6405?

Answer:

Greatest Common Factor of 6400 and 6405 = 5

Step 1: 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 2: Find the prime factorization of 6405

6405 = 3 x 5 x 7 x 61

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 6400 and 6405 is 5