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 1147, 1155 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1147 and 1155 is 1.
GCF(1147,1155) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1147
31 | 1147 |
37 | 37 |
1 |
Prime factors of 1147 are 31,37. Prime factorization of 1147 in exponential form is:
1147 = 311×371
Prime Factorization of 1155
3 | 1155 |
5 | 385 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 1155 are 3,5,7,11. Prime factorization of 1155 in exponential form is:
1155 = 31×51×71×111
∴ So by taking common prime factors GCF of 1147 and 1155 is 1
Factors of 1147
List of positive integer factors of 1147 that divides 1147 without a remainder.
1,31,37,1147
Factors of 1155
List of positive integer factors of 1155 that divides 1155 without a remainder.
1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155
Greatest Common Factor
We found the factors and prime factorization of 1147 and 1155. The biggest common factor number is the GCF number.
So the greatest common factor 1147 and 1155 is 1.
Also check out the Least Common Multiple of 1147 and 1155
(i) The GCF of 1147 and 1155 is associative
GCF of 1147 and 1155 = GCF of 1155 and 1147
1. What is the GCF of 1147 and 1155?
Answer: GCF of 1147 and 1155 is 1.
2. What are the Factors of 1147?
Answer: Factors of 1147 are 1, 31, 37, 1147. There are 4 integers that are factors of 1147. The greatest factor of 1147 is 1147.
3. What are the Factors of 1155?
Answer: Factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155. There are 16 integers that are factors of 1155. The greatest factor of 1155 is 1155.
4. How to Find the GCF of 1147 and 1155?
Answer:
Greatest Common Factor of 1147 and 1155 = 1
Step 1: Find the prime factorization of 1147
1147 = 31 x 37
Step 2: Find the prime factorization of 1155
1155 = 3 x 5 x 7 x 11
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 1147 and 1155 is 1