Greatest Common Factor of 10200 and 10205

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, 10205 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10200 and 10205 is 5.

GCF(10200,10205) = 5

GCF of 10200 and 10205

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

GCF of:
and

Greatest Common Factor of 10200 and 10205

GCF of 10200 and 10205 is 5

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 10205


5 10205
13 2041
157 157
1

Prime factors of 10205 are 5,13,157. Prime factorization of 10205 in exponential form is:

10205 = 51×131×1571

∴ So by taking common prime factors GCF of 10200 and 10205 is 5

Greatest Common Factor of 10200 and 10205 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 10205

List of positive integer factors of 10205 that divides 10205 without a remainder.

1,5,13,65,157,785,2041,10205

Greatest Common Factor

We found the factors and prime factorization of 10200 and 10205. The biggest common factor number is the GCF number.
So the greatest common factor 10200 and 10205 is 5.

Also check out the Least Common Multiple of 10200 and 10205

Properties of GCF 10200 and 10205

(i) The GCF of 10200 and 10205 is associative

GCF of 10200 and 10205 = GCF of 10205 and 10200

Related Greatest Common Factor of 10200

Related Greatest Common Factor of 10205

Frequently Asked Questions on GCF of 10200 and 10205

1. What is the GCF of 10200 and 10205?

Answer: GCF of 10200 and 10205 is 5.

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 10205?

Answer: Factors of 10205 are 1, 5, 13, 65, 157, 785, 2041, 10205. There are 8 integers that are factors of 10205. The greatest factor of 10205 is 10205.

4. How to Find the GCF of 10200 and 10205?

Answer:

Greatest Common Factor of 10200 and 10205 = 5

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 10205

10205 = 5 x 13 x 157

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

GCF = 5

Step 4: Therefore, the greatest common factor of 10200 and 10205 is 5