Greatest Common Factor of 5199 and 5200

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 5199, 5200 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5199 and 5200 is 1.

GCF(5199,5200) = 1

GCF of 5199 and 5200

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

GCF of:
and

Greatest Common Factor of 5199 and 5200

GCF of 5199 and 5200 is 1

Prime Factorization of 5199


3 5199
1733 1733
1

Prime factors of 5199 are 3,1733. Prime factorization of 5199 in exponential form is:

5199 = 31×17331

Prime Factorization of 5200


2 5200
2 2600
2 1300
2 650
5 325
5 65
13 13
1

Prime factors of 5200 are 2,5,13. Prime factorization of 5200 in exponential form is:

5200 = 24×52×131

∴ So by taking common prime factors GCF of 5199 and 5200 is 1

Greatest Common Factor of 5199 and 5200 by matching factors method

Factors of 5199

List of positive integer factors of 5199 that divides 5199 without a remainder.

1,3,1733,5199

Factors of 5200

List of positive integer factors of 5200 that divides 5200 without a remainder.

1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200

Greatest Common Factor

We found the factors and prime factorization of 5199 and 5200. The biggest common factor number is the GCF number.
So the greatest common factor 5199 and 5200 is 1.

Also check out the Least Common Multiple of 5199 and 5200

Properties of GCF 5199 and 5200

(i) The GCF of 5199 and 5200 is associative

GCF of 5199 and 5200 = GCF of 5200 and 5199

Related Greatest Common Factor of 5199

Related Greatest Common Factor of 5200

Frequently Asked Questions on GCF of 5199 and 5200

1. What is the GCF of 5199 and 5200?

Answer: GCF of 5199 and 5200 is 1.

2. What are the Factors of 5199?

Answer: Factors of 5199 are 1, 3, 1733, 5199. There are 4 integers that are factors of 5199. The greatest factor of 5199 is 5199.

3. What are the Factors of 5200?

Answer: Factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200. There are 30 integers that are factors of 5200. The greatest factor of 5200 is 5200.

4. How to Find the GCF of 5199 and 5200?

Answer:

Greatest Common Factor of 5199 and 5200 = 1

Step 1: Find the prime factorization of 5199

5199 = 3 x 1733

Step 2: Find the prime factorization of 5200

5200 = 2 x 2 x 2 x 2 x 5 x 5 x 13

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 5199 and 5200 is 1