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, 1089 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1083 and 1089 is 3.
GCF(1083,1089) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 1089
3 | 1089 |
3 | 363 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 1089 are 3,11. Prime factorization of 1089 in exponential form is:
1089 = 32×112
∴ So by taking common prime factors GCF of 1083 and 1089 is 3
Factors of 1083
List of positive integer factors of 1083 that divides 1083 without a remainder.
1,3,19,57,361,1083
Factors of 1089
List of positive integer factors of 1089 that divides 1089 without a remainder.
1,3,9,11,33,99,121,363,1089
Greatest Common Factor
We found the factors and prime factorization of 1083 and 1089. The biggest common factor number is the GCF number.
So the greatest common factor 1083 and 1089 is 3.
Also check out the Least Common Multiple of 1083 and 1089
(i) The GCF of 1083 and 1089 is associative
GCF of 1083 and 1089 = GCF of 1089 and 1083
1. What is the GCF of 1083 and 1089?
Answer: GCF of 1083 and 1089 is 3.
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 1089?
Answer: Factors of 1089 are 1, 3, 9, 11, 33, 99, 121, 363, 1089. There are 9 integers that are factors of 1089. The greatest factor of 1089 is 1089.
4. How to Find the GCF of 1083 and 1089?
Answer:
Greatest Common Factor of 1083 and 1089 = 3
Step 1: Find the prime factorization of 1083
1083 = 3 x 19 x 19
Step 2: Find the prime factorization of 1089
1089 = 3 x 3 x 11 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 1083 and 1089 is 3