Greatest Common Factor of 7199 and 7200

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 7199, 7200 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7199 and 7200 is 1.

GCF(7199,7200) = 1

GCF of 7199 and 7200

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

GCF of:
and

Greatest Common Factor of 7199 and 7200

GCF of 7199 and 7200 is 1

Prime Factorization of 7199


23 7199
313 313
1

Prime factors of 7199 are 23,313. Prime factorization of 7199 in exponential form is:

7199 = 231×3131

Prime Factorization of 7200


2 7200
2 3600
2 1800
2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 7200 are 2,3,5. Prime factorization of 7200 in exponential form is:

7200 = 25×32×52

∴ So by taking common prime factors GCF of 7199 and 7200 is 1

Greatest Common Factor of 7199 and 7200 by matching factors method

Factors of 7199

List of positive integer factors of 7199 that divides 7199 without a remainder.

1,23,313,7199

Factors of 7200

List of positive integer factors of 7200 that divides 7200 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,32,36,40,45,48,50,60,72,75,80,90,96,100,120,144,150,160,180,200,225,240,288,300,360,400,450,480,600,720,800,900,1200,1440,1800,2400,3600,7200

Greatest Common Factor

We found the factors and prime factorization of 7199 and 7200. The biggest common factor number is the GCF number.
So the greatest common factor 7199 and 7200 is 1.

Also check out the Least Common Multiple of 7199 and 7200

Properties of GCF 7199 and 7200

(i) The GCF of 7199 and 7200 is associative

GCF of 7199 and 7200 = GCF of 7200 and 7199

Related Greatest Common Factor of 7199

Related Greatest Common Factor of 7200

Frequently Asked Questions on GCF of 7199 and 7200

1. What is the GCF of 7199 and 7200?

Answer: GCF of 7199 and 7200 is 1.

2. What are the Factors of 7199?

Answer: Factors of 7199 are 1, 23, 313, 7199. There are 4 integers that are factors of 7199. The greatest factor of 7199 is 7199.

3. What are the Factors of 7200?

Answer: Factors of 7200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200. There are 54 integers that are factors of 7200. The greatest factor of 7200 is 7200.

4. How to Find the GCF of 7199 and 7200?

Answer:

Greatest Common Factor of 7199 and 7200 = 1

Step 1: Find the prime factorization of 7199

7199 = 23 x 313

Step 2: Find the prime factorization of 7200

7200 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5

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 7199 and 7200 is 1