Greatest Common Factor of 20392 and 20400

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 20392, 20400 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20392 and 20400 is 8.

GCF(20392,20400) = 8

GCF of 20392 and 20400

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

GCF of:
and

Greatest Common Factor of 20392 and 20400

GCF of 20392 and 20400 is 8

Prime Factorization of 20392


2 20392
2 10196
2 5098
2549 2549
1

Prime factors of 20392 are 2,2549. Prime factorization of 20392 in exponential form is:

20392 = 23×25491

Prime Factorization of 20400


2 20400
2 10200
2 5100
2 2550
3 1275
5 425
5 85
17 17
1

Prime factors of 20400 are 2,3,5,17. Prime factorization of 20400 in exponential form is:

20400 = 24×31×52×171

∴ So by taking common prime factors GCF of 20392 and 20400 is 8

Greatest Common Factor of 20392 and 20400 by matching factors method

Factors of 20392

List of positive integer factors of 20392 that divides 20392 without a remainder.

1,2,4,8,2549,5098,10196,20392

Factors of 20400

List of positive integer factors of 20400 that divides 20400 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,25,30,34,40,48,50,51,60,68,75,80,85,100,102,120,136,150,170,200,204,240,255,272,300,340,400,408,425,510,600,680,816,850,1020,1200,1275,1360,1700,2040,2550,3400,4080,5100,6800,10200,20400

Greatest Common Factor

We found the factors and prime factorization of 20392 and 20400. The biggest common factor number is the GCF number.
So the greatest common factor 20392 and 20400 is 8.

Also check out the Least Common Multiple of 20392 and 20400

Properties of GCF 20392 and 20400

(i) The GCF of 20392 and 20400 is associative

GCF of 20392 and 20400 = GCF of 20400 and 20392

Related Greatest Common Factor of 20392

Related Greatest Common Factor of 20400

Frequently Asked Questions on GCF of 20392 and 20400

1. What is the GCF of 20392 and 20400?

Answer: GCF of 20392 and 20400 is 8.

2. What are the Factors of 20392?

Answer: Factors of 20392 are 1, 2, 4, 8, 2549, 5098, 10196, 20392. There are 8 integers that are factors of 20392. The greatest factor of 20392 is 20392.

3. What are the Factors of 20400?

Answer: Factors of 20400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 25, 30, 34, 40, 48, 50, 51, 60, 68, 75, 80, 85, 100, 102, 120, 136, 150, 170, 200, 204, 240, 255, 272, 300, 340, 400, 408, 425, 510, 600, 680, 816, 850, 1020, 1200, 1275, 1360, 1700, 2040, 2550, 3400, 4080, 5100, 6800, 10200, 20400. There are 60 integers that are factors of 20400. The greatest factor of 20400 is 20400.

4. How to Find the GCF of 20392 and 20400?

Answer:

Greatest Common Factor of 20392 and 20400 = 8

Step 1: Find the prime factorization of 20392

20392 = 2 x 2 x 2 x 2549

Step 2: Find the prime factorization of 20400

20400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 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 x 2 = 8

Step 4: Therefore, the greatest common factor of 20392 and 20400 is 8