Greatest Common Factor of 198 and 199

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 198, 199 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 198 and 199 is 1.

GCF(198,199) = 1

GCF of 198 and 199

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

GCF of:
and

Greatest Common Factor of 198 and 199

GCF of 198 and 199 is 1

Prime Factorization of 198


2 198
3 99
3 33
11 11
1

Prime factors of 198 are 2,3,11. Prime factorization of 198 in exponential form is:

198 = 21×32×111

Prime Factorization of 199


199 199
1

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

199 = 1991

∴ So by taking common prime factors GCF of 198 and 199 is 1

Greatest Common Factor of 198 and 199 by matching factors method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 199

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

1,199

Greatest Common Factor

We found the factors and prime factorization of 198 and 199. The biggest common factor number is the GCF number.
So the greatest common factor 198 and 199 is 1.

Also check out the Least Common Multiple of 198 and 199

Properties of GCF 198 and 199

(i) The GCF of 198 and 199 is associative

GCF of 198 and 199 = GCF of 199 and 198

Related Greatest Common Factor of 198

Related Greatest Common Factor of 199

Frequently Asked Questions on GCF of 198 and 199

1. What is the GCF of 198 and 199?

Answer: GCF of 198 and 199 is 1.

2. What are the Factors of 198?

Answer: Factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198. There are 12 integers that are factors of 198. The greatest factor of 198 is 198.

3. 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.

4. How to Find the GCF of 198 and 199?

Answer:

Greatest Common Factor of 198 and 199 = 1

Step 1: Find the prime factorization of 198

198 = 2 x 3 x 3 x 11

Step 2: Find the prime factorization of 199

199 = 199

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 198 and 199 is 1