Greatest Common Factor of 10400 and 10406

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, 10406 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10400 and 10406 is 2.

GCF(10400,10406) = 2

GCF of 10400 and 10406

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

GCF of:
and

Greatest Common Factor of 10400 and 10406

GCF of 10400 and 10406 is 2

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 10406


2 10406
11 5203
11 473
43 43
1

Prime factors of 10406 are 2,11,43. Prime factorization of 10406 in exponential form is:

10406 = 21×112×431

∴ So by taking common prime factors GCF of 10400 and 10406 is 2

Greatest Common Factor of 10400 and 10406 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 10406

List of positive integer factors of 10406 that divides 10406 without a remainder.

1,2,11,22,43,86,121,242,473,946,5203,10406

Greatest Common Factor

We found the factors and prime factorization of 10400 and 10406. The biggest common factor number is the GCF number.
So the greatest common factor 10400 and 10406 is 2.

Also check out the Least Common Multiple of 10400 and 10406

Properties of GCF 10400 and 10406

(i) The GCF of 10400 and 10406 is associative

GCF of 10400 and 10406 = GCF of 10406 and 10400

Related Greatest Common Factor of 10400

Related Greatest Common Factor of 10406

Frequently Asked Questions on GCF of 10400 and 10406

1. What is the GCF of 10400 and 10406?

Answer: GCF of 10400 and 10406 is 2.

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 10406?

Answer: Factors of 10406 are 1, 2, 11, 22, 43, 86, 121, 242, 473, 946, 5203, 10406. There are 12 integers that are factors of 10406. The greatest factor of 10406 is 10406.

4. How to Find the GCF of 10400 and 10406?

Answer:

Greatest Common Factor of 10400 and 10406 = 2

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 10406

10406 = 2 x 11 x 11 x 43

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 10400 and 10406 is 2