Greatest Common Factor of 8204 and 8212

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, 8212 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8204 and 8212 is 4.

GCF(8204,8212) = 4

GCF of 8204 and 8212

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

GCF of:
and

Greatest Common Factor of 8204 and 8212

GCF of 8204 and 8212 is 4

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 8212


2 8212
2 4106
2053 2053
1

Prime factors of 8212 are 2,2053. Prime factorization of 8212 in exponential form is:

8212 = 22×20531

∴ So by taking common prime factors GCF of 8204 and 8212 is 4

Greatest Common Factor of 8204 and 8212 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 8212

List of positive integer factors of 8212 that divides 8212 without a remainder.

1,2,4,2053,4106,8212

Greatest Common Factor

We found the factors and prime factorization of 8204 and 8212. The biggest common factor number is the GCF number.
So the greatest common factor 8204 and 8212 is 4.

Also check out the Least Common Multiple of 8204 and 8212

Properties of GCF 8204 and 8212

(i) The GCF of 8204 and 8212 is associative

GCF of 8204 and 8212 = GCF of 8212 and 8204

Related Greatest Common Factor of 8204

Related Greatest Common Factor of 8212

Frequently Asked Questions on GCF of 8204 and 8212

1. What is the GCF of 8204 and 8212?

Answer: GCF of 8204 and 8212 is 4.

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 8212?

Answer: Factors of 8212 are 1, 2, 4, 2053, 4106, 8212. There are 6 integers that are factors of 8212. The greatest factor of 8212 is 8212.

4. How to Find the GCF of 8204 and 8212?

Answer:

Greatest Common Factor of 8204 and 8212 = 4

Step 1: Find the prime factorization of 8204

8204 = 2 x 2 x 7 x 293

Step 2: Find the prime factorization of 8212

8212 = 2 x 2 x 2053

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 8204 and 8212 is 4