Greatest Common Factor of 7196 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 7196, 7200 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7196 and 7200 is 4.

GCF(7196,7200) = 4

GCF of 7196 and 7200

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

GCF of:
and

Greatest Common Factor of 7196 and 7200

GCF of 7196 and 7200 is 4

Prime Factorization of 7196


2 7196
2 3598
7 1799
257 257
1

Prime factors of 7196 are 2,7,257. Prime factorization of 7196 in exponential form is:

7196 = 22×71×2571

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 7196 and 7200 is 4

Greatest Common Factor of 7196 and 7200 by matching factors method

Factors of 7196

List of positive integer factors of 7196 that divides 7196 without a remainder.

1,2,4,7,14,28,257,514,1028,1799,3598,7196

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 7196 and 7200. The biggest common factor number is the GCF number.
So the greatest common factor 7196 and 7200 is 4.

Also check out the Least Common Multiple of 7196 and 7200

Properties of GCF 7196 and 7200

(i) The GCF of 7196 and 7200 is associative

GCF of 7196 and 7200 = GCF of 7200 and 7196

Related Greatest Common Factor of 7196

Related Greatest Common Factor of 7200

Frequently Asked Questions on GCF of 7196 and 7200

1. What is the GCF of 7196 and 7200?

Answer: GCF of 7196 and 7200 is 4.

2. What are the Factors of 7196?

Answer: Factors of 7196 are 1, 2, 4, 7, 14, 28, 257, 514, 1028, 1799, 3598, 7196. There are 12 integers that are factors of 7196. The greatest factor of 7196 is 7196.

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 7196 and 7200?

Answer:

Greatest Common Factor of 7196 and 7200 = 4

Step 1: Find the prime factorization of 7196

7196 = 2 x 2 x 7 x 257

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7196 and 7200 is 4