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 1115, 1123 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1115 and 1123 is 1.
GCF(1115,1123) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1115
5 | 1115 |
223 | 223 |
1 |
Prime factors of 1115 are 5,223. Prime factorization of 1115 in exponential form is:
1115 = 51×2231
Prime Factorization of 1123
1123 | 1123 |
1 |
Prime factors of 1123 are 1123. Prime factorization of 1123 in exponential form is:
1123 = 11231
∴ So by taking common prime factors GCF of 1115 and 1123 is 1
Factors of 1115
List of positive integer factors of 1115 that divides 1115 without a remainder.
1,5,223,1115
Factors of 1123
List of positive integer factors of 1123 that divides 1123 without a remainder.
1,1123
Greatest Common Factor
We found the factors and prime factorization of 1115 and 1123. The biggest common factor number is the GCF number.
So the greatest common factor 1115 and 1123 is 1.
Also check out the Least Common Multiple of 1115 and 1123
(i) The GCF of 1115 and 1123 is associative
GCF of 1115 and 1123 = GCF of 1123 and 1115
1. What is the GCF of 1115 and 1123?
Answer: GCF of 1115 and 1123 is 1.
2. What are the Factors of 1115?
Answer: Factors of 1115 are 1, 5, 223, 1115. There are 4 integers that are factors of 1115. The greatest factor of 1115 is 1115.
3. What are the Factors of 1123?
Answer: Factors of 1123 are 1, 1123. There are 2 integers that are factors of 1123. The greatest factor of 1123 is 1123.
4. How to Find the GCF of 1115 and 1123?
Answer:
Greatest Common Factor of 1115 and 1123 = 1
Step 1: Find the prime factorization of 1115
1115 = 5 x 223
Step 2: Find the prime factorization of 1123
1123 = 1123
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 1115 and 1123 is 1