Greatest Common Factor of 204 and 206

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 204, 206 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 204 and 206 is 2.

GCF(204,206) = 2

GCF of 204 and 206

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

GCF of:
and

Greatest Common Factor of 204 and 206

GCF of 204 and 206 is 2

Prime Factorization of 204


2 204
2 102
3 51
17 17
1

Prime factors of 204 are 2,3,17. Prime factorization of 204 in exponential form is:

204 = 22×31×171

Prime Factorization of 206


2 206
103 103
1

Prime factors of 206 are 2,103. Prime factorization of 206 in exponential form is:

206 = 21×1031

∴ So by taking common prime factors GCF of 204 and 206 is 2

Greatest Common Factor of 204 and 206 by matching factors method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors and prime factorization of 204 and 206. The biggest common factor number is the GCF number.
So the greatest common factor 204 and 206 is 2.

Also check out the Least Common Multiple of 204 and 206

Properties of GCF 204 and 206

(i) The GCF of 204 and 206 is associative

GCF of 204 and 206 = GCF of 206 and 204

Related Greatest Common Factor of 204

Related Greatest Common Factor of 206

Frequently Asked Questions on GCF of 204 and 206

1. What is the GCF of 204 and 206?

Answer: GCF of 204 and 206 is 2.

2. What are the Factors of 204?

Answer: Factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204. There are 12 integers that are factors of 204. The greatest factor of 204 is 204.

3. What are the Factors of 206?

Answer: Factors of 206 are 1, 2, 103, 206. There are 4 integers that are factors of 206. The greatest factor of 206 is 206.

4. How to Find the GCF of 204 and 206?

Answer:

Greatest Common Factor of 204 and 206 = 2

Step 1: Find the prime factorization of 204

204 = 2 x 2 x 3 x 17

Step 2: Find the prime factorization of 206

206 = 2 x 103

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 204 and 206 is 2