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, 1087 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1083 and 1087 is 1.
GCF(1083,1087) = 1
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 1087
1087 | 1087 |
1 |
Prime factors of 1087 are 1087. Prime factorization of 1087 in exponential form is:
1087 = 10871
∴ So by taking common prime factors GCF of 1083 and 1087 is 1
Factors of 1083
List of positive integer factors of 1083 that divides 1083 without a remainder.
1,3,19,57,361,1083
Factors of 1087
List of positive integer factors of 1087 that divides 1087 without a remainder.
1,1087
Greatest Common Factor
We found the factors and prime factorization of 1083 and 1087. The biggest common factor number is the GCF number.
So the greatest common factor 1083 and 1087 is 1.
Also check out the Least Common Multiple of 1083 and 1087
(i) The GCF of 1083 and 1087 is associative
GCF of 1083 and 1087 = GCF of 1087 and 1083
1. What is the GCF of 1083 and 1087?
Answer: GCF of 1083 and 1087 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 1087?
Answer: Factors of 1087 are 1, 1087. There are 2 integers that are factors of 1087. The greatest factor of 1087 is 1087.
4. How to Find the GCF of 1083 and 1087?
Answer:
Greatest Common Factor of 1083 and 1087 = 1
Step 1: Find the prime factorization of 1083
1083 = 3 x 19 x 19
Step 2: Find the prime factorization of 1087
1087 = 1087
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 1087 is 1