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 1201, 1205 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1201 and 1205 is 1.
GCF(1201,1205) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1201
1201 | 1201 |
1 |
Prime factors of 1201 are 1201. Prime factorization of 1201 in exponential form is:
1201 = 12011
Prime Factorization of 1205
5 | 1205 |
241 | 241 |
1 |
Prime factors of 1205 are 5.Prime factorization of 1205 in exponential form is:
1205 = 51×2411
∴ So by taking common prime factors GCF of 1201 and 1205 is 1
Factors of 1201
List of positive integer factors of 1201 that divides 1201 without a remainder.
1,1201
Factors of 1205
List of positive integer factors of 1205 that divides 1205 without a remainder.
1,5,241,1205
Greatest Common Factor
We found the factors and prime factorization of 1201 and 1205. The biggest common factor number is the GCF number.
So the greatest common factor 1201 and 1205 is 1.
Also check out the Least Common Multiple of 1201 and 1205
(i) The GCF of 1201 and 1205 is associative
GCF of 1201 and 1205 = GCF of 1205 and 1201
1. What is the GCF of 1201 and 1205?
Answer: GCF of 1201 and 1205 is 1.
2. What are the Factors of 1201?
Answer: Factors of 1201 are 1, 1201. There are 2 integers that are factors of 1201. The greatest factor of 1201 is 1201.
3. 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.
4. How to Find the GCF of 1201 and 1205?
Answer:
Greatest Common Factor of 1201 and 1205 = 1
Step 1: Find the prime factorization of 1201
1201 = 1201
Step 2: Find the prime factorization of 1205
1205 = 5 x 241
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 1201 and 1205 is 1