Greatest Common Factor of 7200 and 7204

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 7200, 7204 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7200 and 7204 is 4.

GCF(7200,7204) = 4

GCF of 7200 and 7204

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

GCF of:
and

Greatest Common Factor of 7200 and 7204

GCF of 7200 and 7204 is 4

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

Prime Factorization of 7204


2 7204
2 3602
1801 1801
1

Prime factors of 7204 are 2,1801. Prime factorization of 7204 in exponential form is:

7204 = 22×18011

∴ So by taking common prime factors GCF of 7200 and 7204 is 4

Greatest Common Factor of 7200 and 7204 by matching factors method

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

Factors of 7204

List of positive integer factors of 7204 that divides 7204 without a remainder.

1,2,4,1801,3602,7204

Greatest Common Factor

We found the factors and prime factorization of 7200 and 7204. The biggest common factor number is the GCF number.
So the greatest common factor 7200 and 7204 is 4.

Also check out the Least Common Multiple of 7200 and 7204

Properties of GCF 7200 and 7204

(i) The GCF of 7200 and 7204 is associative

GCF of 7200 and 7204 = GCF of 7204 and 7200

Related Greatest Common Factor of 7200

Related Greatest Common Factor of 7204

Frequently Asked Questions on GCF of 7200 and 7204

1. What is the GCF of 7200 and 7204?

Answer: GCF of 7200 and 7204 is 4.

2. 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.

3. What are the Factors of 7204?

Answer: Factors of 7204 are 1, 2, 4, 1801, 3602, 7204. There are 6 integers that are factors of 7204. The greatest factor of 7204 is 7204.

4. How to Find the GCF of 7200 and 7204?

Answer:

Greatest Common Factor of 7200 and 7204 = 4

Step 1: 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 2: Find the prime factorization of 7204

7204 = 2 x 2 x 1801

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 7200 and 7204 is 4