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 1131, 1135 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1131 and 1135 is 1.
GCF(1131,1135) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1131
3 | 1131 |
13 | 377 |
29 | 29 |
1 |
Prime factors of 1131 are 3,13,29. Prime factorization of 1131 in exponential form is:
1131 = 31×131×291
Prime Factorization of 1135
5 | 1135 |
227 | 227 |
1 |
Prime factors of 1135 are 5,227. Prime factorization of 1135 in exponential form is:
1135 = 51×2271
∴ So by taking common prime factors GCF of 1131 and 1135 is 1
Factors of 1131
List of positive integer factors of 1131 that divides 1131 without a remainder.
1,3,13,29,39,87,377,1131
Factors of 1135
List of positive integer factors of 1135 that divides 1135 without a remainder.
1,5,227,1135
Greatest Common Factor
We found the factors and prime factorization of 1131 and 1135. The biggest common factor number is the GCF number.
So the greatest common factor 1131 and 1135 is 1.
Also check out the Least Common Multiple of 1131 and 1135
(i) The GCF of 1131 and 1135 is associative
GCF of 1131 and 1135 = GCF of 1135 and 1131
1. What is the GCF of 1131 and 1135?
Answer: GCF of 1131 and 1135 is 1.
2. What are the Factors of 1131?
Answer: Factors of 1131 are 1, 3, 13, 29, 39, 87, 377, 1131. There are 8 integers that are factors of 1131. The greatest factor of 1131 is 1131.
3. What are the Factors of 1135?
Answer: Factors of 1135 are 1, 5, 227, 1135. There are 4 integers that are factors of 1135. The greatest factor of 1135 is 1135.
4. How to Find the GCF of 1131 and 1135?
Answer:
Greatest Common Factor of 1131 and 1135 = 1
Step 1: Find the prime factorization of 1131
1131 = 3 x 13 x 29
Step 2: Find the prime factorization of 1135
1135 = 5 x 227
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 1131 and 1135 is 1