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 1086, 1093 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1086 and 1093 is 1.
GCF(1086,1093) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1086
2 | 1086 |
3 | 543 |
181 | 181 |
1 |
Prime factors of 1086 are 2,3,181. Prime factorization of 1086 in exponential form is:
1086 = 21×31×1811
Prime Factorization of 1093
1093 | 1093 |
1 |
Prime factors of 1093 are 1093. Prime factorization of 1093 in exponential form is:
1093 = 10931
∴ So by taking common prime factors GCF of 1086 and 1093 is 1
Factors of 1086
List of positive integer factors of 1086 that divides 1086 without a remainder.
1,2,3,6,181,362,543,1086
Factors of 1093
List of positive integer factors of 1093 that divides 1093 without a remainder.
1,1093
Greatest Common Factor
We found the factors and prime factorization of 1086 and 1093. The biggest common factor number is the GCF number.
So the greatest common factor 1086 and 1093 is 1.
Also check out the Least Common Multiple of 1086 and 1093
(i) The GCF of 1086 and 1093 is associative
GCF of 1086 and 1093 = GCF of 1093 and 1086
1. What is the GCF of 1086 and 1093?
Answer: GCF of 1086 and 1093 is 1.
2. What are the Factors of 1086?
Answer: Factors of 1086 are 1, 2, 3, 6, 181, 362, 543, 1086. There are 8 integers that are factors of 1086. The greatest factor of 1086 is 1086.
3. What are the Factors of 1093?
Answer: Factors of 1093 are 1, 1093. There are 2 integers that are factors of 1093. The greatest factor of 1093 is 1093.
4. How to Find the GCF of 1086 and 1093?
Answer:
Greatest Common Factor of 1086 and 1093 = 1
Step 1: Find the prime factorization of 1086
1086 = 2 x 3 x 181
Step 2: Find the prime factorization of 1093
1093 = 1093
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 1086 and 1093 is 1