Greatest Common Factor of 7200 and 7202

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, 7202 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7200 and 7202 is 2.

GCF(7200,7202) = 2

GCF of 7200 and 7202

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

GCF of:
and

Greatest Common Factor of 7200 and 7202

GCF of 7200 and 7202 is 2

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 7202


2 7202
13 3601
277 277
1

Prime factors of 7202 are 2,13,277. Prime factorization of 7202 in exponential form is:

7202 = 21×131×2771

∴ So by taking common prime factors GCF of 7200 and 7202 is 2

Greatest Common Factor of 7200 and 7202 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 7202

List of positive integer factors of 7202 that divides 7202 without a remainder.

1,2,13,26,277,554,3601,7202

Greatest Common Factor

We found the factors and prime factorization of 7200 and 7202. The biggest common factor number is the GCF number.
So the greatest common factor 7200 and 7202 is 2.

Also check out the Least Common Multiple of 7200 and 7202

Properties of GCF 7200 and 7202

(i) The GCF of 7200 and 7202 is associative

GCF of 7200 and 7202 = GCF of 7202 and 7200

Related Greatest Common Factor of 7200

Related Greatest Common Factor of 7202

Frequently Asked Questions on GCF of 7200 and 7202

1. What is the GCF of 7200 and 7202?

Answer: GCF of 7200 and 7202 is 2.

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 7202?

Answer: Factors of 7202 are 1, 2, 13, 26, 277, 554, 3601, 7202. There are 8 integers that are factors of 7202. The greatest factor of 7202 is 7202.

4. How to Find the GCF of 7200 and 7202?

Answer:

Greatest Common Factor of 7200 and 7202 = 2

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 7202

7202 = 2 x 13 x 277

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 7200 and 7202 is 2