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 1205, 1211 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1205 and 1211 is 1.
GCF(1205,1211) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1205
5 | 1205 |
241 | 241 |
1 |
Prime factors of 1205 are 5,241. Prime factorization of 1205 in exponential form is:
1205 = 51×2411
Prime Factorization of 1211
7 | 1211 |
173 | 173 |
1 |
Prime factors of 1211 are 7,173. Prime factorization of 1211 in exponential form is:
1211 = 71×1731
∴ So by taking common prime factors GCF of 1205 and 1211 is 1
Factors of 1205
List of positive integer factors of 1205 that divides 1205 without a remainder.
1,5,241,1205
Factors of 1211
List of positive integer factors of 1211 that divides 1211 without a remainder.
1,7,173,1211
Greatest Common Factor
We found the factors and prime factorization of 1205 and 1211. The biggest common factor number is the GCF number.
So the greatest common factor 1205 and 1211 is 1.
Also check out the Least Common Multiple of 1205 and 1211
(i) The GCF of 1205 and 1211 is associative
GCF of 1205 and 1211 = GCF of 1211 and 1205
1. What is the GCF of 1205 and 1211?
Answer: GCF of 1205 and 1211 is 1.
2. What are the Factors of 1205?
Answer: Factors of 1205 are 1, 5, 241, 1205. There are 4 integers that are factors of 1205. The greatest factor of 1205 is 1205.
3. What are the Factors of 1211?
Answer: Factors of 1211 are 1, 7, 173, 1211. There are 4 integers that are factors of 1211. The greatest factor of 1211 is 1211.
4. How to Find the GCF of 1205 and 1211?
Answer:
Greatest Common Factor of 1205 and 1211 = 1
Step 1: Find the prime factorization of 1205
1205 = 5 x 241
Step 2: Find the prime factorization of 1211
1211 = 7 x 173
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 1205 and 1211 is 1