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 201, 209 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 201 and 209 is 1.
GCF(201,209) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 201
3 | 201 |
67 | 67 |
1 |
Prime factors of 201 are 3,67. Prime factorization of 201 in exponential form is:
201 = 31×671
Prime Factorization of 209
11 | 209 |
19 | 19 |
1 |
Prime factors of 209 are 11,19. Prime factorization of 209 in exponential form is:
209 = 111×191
∴ So by taking common prime factors GCF of 201 and 209 is 1
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors and prime factorization of 201 and 209. The biggest common factor number is the GCF number.
So the greatest common factor 201 and 209 is 1.
Also check out the Least Common Multiple of 201 and 209
(i) The GCF of 201 and 209 is associative
GCF of 201 and 209 = GCF of 209 and 201
1. What is the GCF of 201 and 209?
Answer: GCF of 201 and 209 is 1.
2. What are the Factors of 201?
Answer: Factors of 201 are 1, 3, 67, 201. There are 4 integers that are factors of 201. The greatest factor of 201 is 201.
3. What are the Factors of 209?
Answer: Factors of 209 are 1, 11, 19, 209. There are 4 integers that are factors of 209. The greatest factor of 209 is 209.
4. How to Find the GCF of 201 and 209?
Answer:
Greatest Common Factor of 201 and 209 = 1
Step 1: Find the prime factorization of 201
201 = 3 x 67
Step 2: Find the prime factorization of 209
209 = 11 x 19
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 201 and 209 is 1