Greatest Common Factor of 8200 and 8204

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 8200, 8204 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8200 and 8204 is 4.

GCF(8200,8204) = 4

GCF of 8200 and 8204

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

GCF of:
and

Greatest Common Factor of 8200 and 8204

GCF of 8200 and 8204 is 4

Prime Factorization of 8200


2 8200
2 4100
2 2050
5 1025
5 205
41 41
1

Prime factors of 8200 are 2,5,41. Prime factorization of 8200 in exponential form is:

8200 = 23×52×411

Prime Factorization of 8204


2 8204
2 4102
7 2051
293 293
1

Prime factors of 8204 are 2,7,293. Prime factorization of 8204 in exponential form is:

8204 = 22×71×2931

∴ So by taking common prime factors GCF of 8200 and 8204 is 4

Greatest Common Factor of 8200 and 8204 by matching factors method

Factors of 8200

List of positive integer factors of 8200 that divides 8200 without a remainder.

1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200

Factors of 8204

List of positive integer factors of 8204 that divides 8204 without a remainder.

1,2,4,7,14,28,293,586,1172,2051,4102,8204

Greatest Common Factor

We found the factors and prime factorization of 8200 and 8204. The biggest common factor number is the GCF number.
So the greatest common factor 8200 and 8204 is 4.

Also check out the Least Common Multiple of 8200 and 8204

Properties of GCF 8200 and 8204

(i) The GCF of 8200 and 8204 is associative

GCF of 8200 and 8204 = GCF of 8204 and 8200

Related Greatest Common Factor of 8200

Related Greatest Common Factor of 8204

Frequently Asked Questions on GCF of 8200 and 8204

1. What is the GCF of 8200 and 8204?

Answer: GCF of 8200 and 8204 is 4.

2. What are the Factors of 8200?

Answer: Factors of 8200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200. There are 24 integers that are factors of 8200. The greatest factor of 8200 is 8200.

3. What are the Factors of 8204?

Answer: Factors of 8204 are 1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204. There are 12 integers that are factors of 8204. The greatest factor of 8204 is 8204.

4. How to Find the GCF of 8200 and 8204?

Answer:

Greatest Common Factor of 8200 and 8204 = 4

Step 1: Find the prime factorization of 8200

8200 = 2 x 2 x 2 x 5 x 5 x 41

Step 2: Find the prime factorization of 8204

8204 = 2 x 2 x 7 x 293

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 8200 and 8204 is 4