Greatest Common Factor of 1083 and 1091
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 1083, 1091 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1083 and 1091 is 1.
GCF(1083,1091) = 1
GCF of 1083 and 1091
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 1083 and 1091 by prime factorization method
- Greatest Common Factor of 1083 and 1091 by matching factors method
GCF of 1083 and 1091 is 1
Prime Factorization of 1083
| 3 | 1083 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 1083 are 3,19. Prime factorization of 1083 in exponential form is:
1083 = 31×192
Prime Factorization of 1091
| 1091 | 1091 |
| 1 |
Prime factors of 1091 are 1091. Prime factorization of 1091 in exponential form is:
1091 = 10911
∴ So by taking common prime factors GCF of 1083 and 1091 is 1
Greatest Common Factor of 1083 and 1091 by matching factors method
Factors of 1083
List of positive integer factors of 1083 that divides 1083 without a remainder.
1,3,19,57,361,1083
Factors of 1091
List of positive integer factors of 1091 that divides 1091 without a remainder.
1,1091
Greatest Common Factor
We found the factors and prime factorization of 1083 and 1091. The biggest common factor number is the GCF number.
So the greatest common factor 1083 and 1091 is 1.
Also check out the Least Common Multiple of 1083 and 1091
Properties of GCF 1083 and 1091
(i) The GCF of 1083 and 1091 is associative
GCF of 1083 and 1091 = GCF of 1091 and 1083
Related Greatest Common Factor of 1083
Related Greatest Common Factor of 1091
Frequently Asked Questions on GCF of 1083 and 1091
1. What is the GCF of 1083 and 1091?
Answer: GCF of 1083 and 1091 is 1.
2. What are the Factors of 1083?
Answer: Factors of 1083 are 1, 3, 19, 57, 361, 1083. There are 6 integers that are factors of 1083. The greatest factor of 1083 is 1083.
3. What are the Factors of 1091?
Answer: Factors of 1091 are 1, 1091. There are 2 integers that are factors of 1091. The greatest factor of 1091 is 1091.
4. How to Find the GCF of 1083 and 1091?
Answer:
Greatest Common Factor of 1083 and 1091 = 1
Step 1: Find the prime factorization of 1083
1083 = 3 x 19 x 19
Step 2: Find the prime factorization of 1091
1091 = 1091
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 1083 and 1091 is 1