Greatest Common Factor of 10400 and 10402

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, 10402 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10400 and 10402 is 2.

GCF(10400,10402) = 2

GCF of 10400 and 10402

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

GCF of:
and

Greatest Common Factor of 10400 and 10402

GCF of 10400 and 10402 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 10402


2 10402
7 5201
743 743
1

Prime factors of 10402 are 2,7,743. Prime factorization of 10402 in exponential form is:

10402 = 21×71×7431

∴ So by taking common prime factors GCF of 10400 and 10402 is 2

Greatest Common Factor of 10400 and 10402 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 10402

List of positive integer factors of 10402 that divides 10402 without a remainder.

1,2,7,14,743,1486,5201,10402

Greatest Common Factor

We found the factors and prime factorization of 10400 and 10402. The biggest common factor number is the GCF number.
So the greatest common factor 10400 and 10402 is 2.

Also check out the Least Common Multiple of 10400 and 10402

Properties of GCF 10400 and 10402

(i) The GCF of 10400 and 10402 is associative

GCF of 10400 and 10402 = GCF of 10402 and 10400

Related Greatest Common Factor of 10400

Related Greatest Common Factor of 10402

Frequently Asked Questions on GCF of 10400 and 10402

1. What is the GCF of 10400 and 10402?

Answer: GCF of 10400 and 10402 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 10402?

Answer: Factors of 10402 are 1, 2, 7, 14, 743, 1486, 5201, 10402. There are 8 integers that are factors of 10402. The greatest factor of 10402 is 10402.

4. How to Find the GCF of 10400 and 10402?

Answer:

Greatest Common Factor of 10400 and 10402 = 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 10402

10402 = 2 x 7 x 743

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 10402 is 2