Greatest Common Factor of 10400 and 10405

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 10400, 10405 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10400 and 10405 is 5.

GCF(10400,10405) = 5

GCF of 10400 and 10405

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

GCF of:
and

Greatest Common Factor of 10400 and 10405

GCF of 10400 and 10405 is 5

Prime Factorization of 10400


2 10400
2 5200
2 2600
2 1300
2 650
5 325
5 65
13 13
1

Prime factors of 10400 are 2,5,13. Prime factorization of 10400 in exponential form is:

10400 = 25×52×131

Prime Factorization of 10405


5 10405
2081 2081
1

Prime factors of 10405 are 5,2081. Prime factorization of 10405 in exponential form is:

10405 = 51×20811

∴ So by taking common prime factors GCF of 10400 and 10405 is 5

Greatest Common Factor of 10400 and 10405 by matching factors method

Factors of 10400

List of positive integer factors of 10400 that divides 10400 without a remainder.

1,2,4,5,8,10,13,16,20,25,26,32,40,50,52,65,80,100,104,130,160,200,208,260,325,400,416,520,650,800,1040,1300,2080,2600,5200,10400

Factors of 10405

List of positive integer factors of 10405 that divides 10405 without a remainder.

1,5,2081,10405

Greatest Common Factor

We found the factors and prime factorization of 10400 and 10405. The biggest common factor number is the GCF number.
So the greatest common factor 10400 and 10405 is 5.

Also check out the Least Common Multiple of 10400 and 10405

Properties of GCF 10400 and 10405

(i) The GCF of 10400 and 10405 is associative

GCF of 10400 and 10405 = GCF of 10405 and 10400

Related Greatest Common Factor of 10400

Related Greatest Common Factor of 10405

Frequently Asked Questions on GCF of 10400 and 10405

1. What is the GCF of 10400 and 10405?

Answer: GCF of 10400 and 10405 is 5.

2. What are the Factors of 10400?

Answer: Factors of 10400 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 65, 80, 100, 104, 130, 160, 200, 208, 260, 325, 400, 416, 520, 650, 800, 1040, 1300, 2080, 2600, 5200, 10400. There are 36 integers that are factors of 10400. The greatest factor of 10400 is 10400.

3. What are the Factors of 10405?

Answer: Factors of 10405 are 1, 5, 2081, 10405. There are 4 integers that are factors of 10405. The greatest factor of 10405 is 10405.

4. How to Find the GCF of 10400 and 10405?

Answer:

Greatest Common Factor of 10400 and 10405 = 5

Step 1: Find the prime factorization of 10400

10400 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13

Step 2: Find the prime factorization of 10405

10405 = 5 x 2081

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 10400 and 10405 is 5