Greatest Common Factor of 4199 and 4200

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 4199, 4200 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4199 and 4200 is 1.

GCF(4199,4200) = 1

GCF of 4199 and 4200

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

GCF of:
and

Greatest Common Factor of 4199 and 4200

GCF of 4199 and 4200 is 1

Prime Factorization of 4199


13 4199
17 323
19 19
1

Prime factors of 4199 are 13,17,19. Prime factorization of 4199 in exponential form is:

4199 = 131×171×191

Prime Factorization of 4200


2 4200
2 2100
2 1050
3 525
5 175
5 35
7 7
1

Prime factors of 4200 are 2,3,5,7. Prime factorization of 4200 in exponential form is:

4200 = 23×31×52×71

∴ So by taking common prime factors GCF of 4199 and 4200 is 1

Greatest Common Factor of 4199 and 4200 by matching factors method

Factors of 4199

List of positive integer factors of 4199 that divides 4199 without a remainder.

1,13,17,19,221,247,323,4199

Factors of 4200

List of positive integer factors of 4200 that divides 4200 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,25,28,30,35,40,42,50,56,60,70,75,84,100,105,120,140,150,168,175,200,210,280,300,350,420,525,600,700,840,1050,1400,2100,4200

Greatest Common Factor

We found the factors and prime factorization of 4199 and 4200. The biggest common factor number is the GCF number.
So the greatest common factor 4199 and 4200 is 1.

Also check out the Least Common Multiple of 4199 and 4200

Properties of GCF 4199 and 4200

(i) The GCF of 4199 and 4200 is associative

GCF of 4199 and 4200 = GCF of 4200 and 4199

Related Greatest Common Factor of 4199

Related Greatest Common Factor of 4200

Frequently Asked Questions on GCF of 4199 and 4200

1. What is the GCF of 4199 and 4200?

Answer: GCF of 4199 and 4200 is 1.

2. What are the Factors of 4199?

Answer: Factors of 4199 are 1, 13, 17, 19, 221, 247, 323, 4199. There are 8 integers that are factors of 4199. The greatest factor of 4199 is 4199.

3. What are the Factors of 4200?

Answer: Factors of 4200 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200. There are 48 integers that are factors of 4200. The greatest factor of 4200 is 4200.

4. How to Find the GCF of 4199 and 4200?

Answer:

Greatest Common Factor of 4199 and 4200 = 1

Step 1: Find the prime factorization of 4199

4199 = 13 x 17 x 19

Step 2: Find the prime factorization of 4200

4200 = 2 x 2 x 2 x 3 x 5 x 5 x 7

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 4199 and 4200 is 1