Greatest Common Factor of 8204 and 8211

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 8204, 8211 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8204 and 8211 is 7.

GCF(8204,8211) = 7

GCF of 8204 and 8211

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

GCF of:
and

Greatest Common Factor of 8204 and 8211

GCF of 8204 and 8211 is 7

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

Prime Factorization of 8211


3 8211
7 2737
17 391
23 23
1

Prime factors of 8211 are 3,7,17,23. Prime factorization of 8211 in exponential form is:

8211 = 31×71×171×231

∴ So by taking common prime factors GCF of 8204 and 8211 is 7

Greatest Common Factor of 8204 and 8211 by matching factors method

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

Factors of 8211

List of positive integer factors of 8211 that divides 8211 without a remainder.

1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211

Greatest Common Factor

We found the factors and prime factorization of 8204 and 8211. The biggest common factor number is the GCF number.
So the greatest common factor 8204 and 8211 is 7.

Also check out the Least Common Multiple of 8204 and 8211

Properties of GCF 8204 and 8211

(i) The GCF of 8204 and 8211 is associative

GCF of 8204 and 8211 = GCF of 8211 and 8204

Related Greatest Common Factor of 8204

Related Greatest Common Factor of 8211

Frequently Asked Questions on GCF of 8204 and 8211

1. What is the GCF of 8204 and 8211?

Answer: GCF of 8204 and 8211 is 7.

2. 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.

3. What are the Factors of 8211?

Answer: Factors of 8211 are 1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211. There are 16 integers that are factors of 8211. The greatest factor of 8211 is 8211.

4. How to Find the GCF of 8204 and 8211?

Answer:

Greatest Common Factor of 8204 and 8211 = 7

Step 1: Find the prime factorization of 8204

8204 = 2 x 2 x 7 x 293

Step 2: Find the prime factorization of 8211

8211 = 3 x 7 x 17 x 23

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8204 and 8211 is 7