Greatest Common Factor of 10200 and 10204

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 10200, 10204 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10200 and 10204 is 4.

GCF(10200,10204) = 4

GCF of 10200 and 10204

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

GCF of:
and

Greatest Common Factor of 10200 and 10204

GCF of 10200 and 10204 is 4

Prime Factorization of 10200


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

Prime factors of 10200 are 2,3,5,17. Prime factorization of 10200 in exponential form is:

10200 = 23×31×52×171

Prime Factorization of 10204


2 10204
2 5102
2551 2551
1

Prime factors of 10204 are 2,2551. Prime factorization of 10204 in exponential form is:

10204 = 22×25511

∴ So by taking common prime factors GCF of 10200 and 10204 is 4

Greatest Common Factor of 10200 and 10204 by matching factors method

Factors of 10200

List of positive integer factors of 10200 that divides 10200 without a remainder.

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

Factors of 10204

List of positive integer factors of 10204 that divides 10204 without a remainder.

1,2,4,2551,5102,10204

Greatest Common Factor

We found the factors and prime factorization of 10200 and 10204. The biggest common factor number is the GCF number.
So the greatest common factor 10200 and 10204 is 4.

Also check out the Least Common Multiple of 10200 and 10204

Properties of GCF 10200 and 10204

(i) The GCF of 10200 and 10204 is associative

GCF of 10200 and 10204 = GCF of 10204 and 10200

Related Greatest Common Factor of 10200

Related Greatest Common Factor of 10204

Frequently Asked Questions on GCF of 10200 and 10204

1. What is the GCF of 10200 and 10204?

Answer: GCF of 10200 and 10204 is 4.

2. What are the Factors of 10200?

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

3. What are the Factors of 10204?

Answer: Factors of 10204 are 1, 2, 4, 2551, 5102, 10204. There are 6 integers that are factors of 10204. The greatest factor of 10204 is 10204.

4. How to Find the GCF of 10200 and 10204?

Answer:

Greatest Common Factor of 10200 and 10204 = 4

Step 1: Find the prime factorization of 10200

10200 = 2 x 2 x 2 x 3 x 5 x 5 x 17

Step 2: Find the prime factorization of 10204

10204 = 2 x 2 x 2551

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 10200 and 10204 is 4