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, 206 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 198 and 206 is 2.
GCF(198,206) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 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 198 and 206 is 2
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 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 198 and 206. The biggest common factor number is the GCF number.
So the greatest common factor 198 and 206 is 2.
Also check out the Least Common Multiple of 198 and 206
(i) The GCF of 198 and 206 is associative
GCF of 198 and 206 = GCF of 206 and 198
1. What is the GCF of 198 and 206?
Answer: GCF of 198 and 206 is 2.
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 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 198 and 206?
Answer:
Greatest Common Factor of 198 and 206 = 2
Step 1: Find the prime factorization of 198
198 = 2 x 3 x 3 x 11
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 198 and 206 is 2