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 1197, 1205 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1197 and 1205 is 1.
GCF(1197,1205) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1197
3 | 1197 |
3 | 399 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 1197 are 3,7,19. Prime factorization of 1197 in exponential form is:
1197 = 32×71×191
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
∴ So by taking common prime factors GCF of 1197 and 1205 is 1
Factors of 1197
List of positive integer factors of 1197 that divides 1197 without a remainder.
1,3,7,9,19,21,57,63,133,171,399,1197
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 1197 and 1205. The biggest common factor number is the GCF number.
So the greatest common factor 1197 and 1205 is 1.
Also check out the Least Common Multiple of 1197 and 1205
(i) The GCF of 1197 and 1205 is associative
GCF of 1197 and 1205 = GCF of 1205 and 1197
1. What is the GCF of 1197 and 1205?
Answer: GCF of 1197 and 1205 is 1.
2. What are the Factors of 1197?
Answer: Factors of 1197 are 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197. There are 12 integers that are factors of 1197. The greatest factor of 1197 is 1197.
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 1197 and 1205?
Answer:
Greatest Common Factor of 1197 and 1205 = 1
Step 1: Find the prime factorization of 1197
1197 = 3 x 3 x 7 x 19
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 1197 and 1205 is 1