Greatest Common Factor of 8200 and 8205

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, 8205 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8200 and 8205 is 5.

GCF(8200,8205) = 5

GCF of 8200 and 8205

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

GCF of:
and

Greatest Common Factor of 8200 and 8205

GCF of 8200 and 8205 is 5

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 8205


3 8205
5 2735
547 547
1

Prime factors of 8205 are 3,5,547. Prime factorization of 8205 in exponential form is:

8205 = 31×51×5471

∴ So by taking common prime factors GCF of 8200 and 8205 is 5

Greatest Common Factor of 8200 and 8205 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 8205

List of positive integer factors of 8205 that divides 8205 without a remainder.

1,3,5,15,547,1641,2735,8205

Greatest Common Factor

We found the factors and prime factorization of 8200 and 8205. The biggest common factor number is the GCF number.
So the greatest common factor 8200 and 8205 is 5.

Also check out the Least Common Multiple of 8200 and 8205

Properties of GCF 8200 and 8205

(i) The GCF of 8200 and 8205 is associative

GCF of 8200 and 8205 = GCF of 8205 and 8200

Related Greatest Common Factor of 8200

Related Greatest Common Factor of 8205

Frequently Asked Questions on GCF of 8200 and 8205

1. What is the GCF of 8200 and 8205?

Answer: GCF of 8200 and 8205 is 5.

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 8205?

Answer: Factors of 8205 are 1, 3, 5, 15, 547, 1641, 2735, 8205. There are 8 integers that are factors of 8205. The greatest factor of 8205 is 8205.

4. How to Find the GCF of 8200 and 8205?

Answer:

Greatest Common Factor of 8200 and 8205 = 5

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 8205

8205 = 3 x 5 x 547

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8200 and 8205 is 5