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, 1213 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1205 and 1213 is 1.
GCF(1205,1213) = 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 1213
1213 | 1213 |
1 |
Prime factors of 1213 are 1213. Prime factorization of 1213 in exponential form is:
1213 = 12131
∴ So by taking common prime factors GCF of 1205 and 1213 is 1
Factors of 1205
List of positive integer factors of 1205 that divides 1205 without a remainder.
1,5,241,1205
Factors of 1213
List of positive integer factors of 1213 that divides 1213 without a remainder.
1,1213
Greatest Common Factor
We found the factors and prime factorization of 1205 and 1213. The biggest common factor number is the GCF number.
So the greatest common factor 1205 and 1213 is 1.
Also check out the Least Common Multiple of 1205 and 1213
(i) The GCF of 1205 and 1213 is associative
GCF of 1205 and 1213 = GCF of 1213 and 1205
1. What is the GCF of 1205 and 1213?
Answer: GCF of 1205 and 1213 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 1213?
Answer: Factors of 1213 are 1, 1213. There are 2 integers that are factors of 1213. The greatest factor of 1213 is 1213.
4. How to Find the GCF of 1205 and 1213?
Answer:
Greatest Common Factor of 1205 and 1213 = 1
Step 1: Find the prime factorization of 1205
1205 = 5 x 241
Step 2: Find the prime factorization of 1213
1213 = 1213
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 1213 is 1