Greatest Common Factor of 10400 and 10404

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, 10404 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10400 and 10404 is 4.

GCF(10400,10404) = 4

GCF of 10400 and 10404

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

GCF of:
and

Greatest Common Factor of 10400 and 10404

GCF of 10400 and 10404 is 4

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 10404


2 10404
2 5202
3 2601
3 867
17 289
17 17
1

Prime factors of 10404 are 2,3,17. Prime factorization of 10404 in exponential form is:

10404 = 22×32×172

∴ So by taking common prime factors GCF of 10400 and 10404 is 4

Greatest Common Factor of 10400 and 10404 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 10404

List of positive integer factors of 10404 that divides 10404 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,289,306,578,612,867,1156,1734,2601,3468,5202,10404

Greatest Common Factor

We found the factors and prime factorization of 10400 and 10404. The biggest common factor number is the GCF number.
So the greatest common factor 10400 and 10404 is 4.

Also check out the Least Common Multiple of 10400 and 10404

Properties of GCF 10400 and 10404

(i) The GCF of 10400 and 10404 is associative

GCF of 10400 and 10404 = GCF of 10404 and 10400

Related Greatest Common Factor of 10400

Related Greatest Common Factor of 10404

Frequently Asked Questions on GCF of 10400 and 10404

1. What is the GCF of 10400 and 10404?

Answer: GCF of 10400 and 10404 is 4.

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 10404?

Answer: Factors of 10404 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 289, 306, 578, 612, 867, 1156, 1734, 2601, 3468, 5202, 10404. There are 27 integers that are factors of 10404. The greatest factor of 10404 is 10404.

4. How to Find the GCF of 10400 and 10404?

Answer:

Greatest Common Factor of 10400 and 10404 = 4

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 10404

10404 = 2 x 2 x 3 x 3 x 17 x 17

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 10400 and 10404 is 4