Greatest Common Factor of 199 and 204

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 199, 204 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 199 and 204 is 1.

GCF(199,204) = 1

GCF of 199 and 204

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

GCF of:
and

Greatest Common Factor of 199 and 204

GCF of 199 and 204 is 1

Prime Factorization of 199


199 199
1

Prime factors of 199 are 199. Prime factorization of 199 in exponential form is:

199 = 1991

Prime Factorization of 204


2 204
2 102
3 51
17 17
1

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

204 = 22×31×171

∴ So by taking common prime factors GCF of 199 and 204 is 1

Greatest Common Factor of 199 and 204 by matching factors method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

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

Greatest Common Factor

We found the factors and prime factorization of 199 and 204. The biggest common factor number is the GCF number.
So the greatest common factor 199 and 204 is 1.

Also check out the Least Common Multiple of 199 and 204

Properties of GCF 199 and 204

(i) The GCF of 199 and 204 is associative

GCF of 199 and 204 = GCF of 204 and 199

Related Greatest Common Factor of 199

Related Greatest Common Factor of 204

Frequently Asked Questions on GCF of 199 and 204

1. What is the GCF of 199 and 204?

Answer: GCF of 199 and 204 is 1.

2. What are the Factors of 199?

Answer: Factors of 199 are 1, 199. There are 2 integers that are factors of 199. The greatest factor of 199 is 199.

3. 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.

4. How to Find the GCF of 199 and 204?

Answer:

Greatest Common Factor of 199 and 204 = 1

Step 1: Find the prime factorization of 199

199 = 199

Step 2: Find the prime factorization of 204

204 = 2 x 2 x 3 x 17

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 199 and 204 is 1