Greatest Common Factor of 10199 and 10200

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 10199, 10200 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10199 and 10200 is 1.

GCF(10199,10200) = 1

GCF of 10199 and 10200

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

GCF of:
and

Greatest Common Factor of 10199 and 10200

GCF of 10199 and 10200 is 1

Prime Factorization of 10199


7 10199
31 1457
47 47
1

Prime factors of 10199 are 7,31,47. Prime factorization of 10199 in exponential form is:

10199 = 71×311×471

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

∴ So by taking common prime factors GCF of 10199 and 10200 is 1

Greatest Common Factor of 10199 and 10200 by matching factors method

Factors of 10199

List of positive integer factors of 10199 that divides 10199 without a remainder.

1,7,31,47,217,329,1457,10199

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

Greatest Common Factor

We found the factors and prime factorization of 10199 and 10200. The biggest common factor number is the GCF number.
So the greatest common factor 10199 and 10200 is 1.

Also check out the Least Common Multiple of 10199 and 10200

Properties of GCF 10199 and 10200

(i) The GCF of 10199 and 10200 is associative

GCF of 10199 and 10200 = GCF of 10200 and 10199

Related Greatest Common Factor of 10199

Related Greatest Common Factor of 10200

Frequently Asked Questions on GCF of 10199 and 10200

1. What is the GCF of 10199 and 10200?

Answer: GCF of 10199 and 10200 is 1.

2. What are the Factors of 10199?

Answer: Factors of 10199 are 1, 7, 31, 47, 217, 329, 1457, 10199. There are 8 integers that are factors of 10199. The greatest factor of 10199 is 10199.

3. 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.

4. How to Find the GCF of 10199 and 10200?

Answer:

Greatest Common Factor of 10199 and 10200 = 1

Step 1: Find the prime factorization of 10199

10199 = 7 x 31 x 47

Step 2: Find the prime factorization of 10200

10200 = 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 = = 1

Step 4: Therefore, the greatest common factor of 10199 and 10200 is 1