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 1105, 1106 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1105 and 1106 is 1.
GCF(1105,1106) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1105
5 | 1105 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 1105 are 5,13,17. Prime factorization of 1105 in exponential form is:
1105 = 51×131×171
Prime Factorization of 1106
2 | 1106 |
7 | 553 |
79 | 79 |
1 |
Prime factors of 1106 are 2,7,79. Prime factorization of 1106 in exponential form is:
1106 = 21×71×791
∴ So by taking common prime factors GCF of 1105 and 1106 is 1
Factors of 1105
List of positive integer factors of 1105 that divides 1105 without a remainder.
1,5,13,17,65,85,221,1105
Factors of 1106
List of positive integer factors of 1106 that divides 1106 without a remainder.
1,2,7,14,79,158,553,1106
Greatest Common Factor
We found the factors and prime factorization of 1105 and 1106. The biggest common factor number is the GCF number.
So the greatest common factor 1105 and 1106 is 1.
Also check out the Least Common Multiple of 1105 and 1106
(i) The GCF of 1105 and 1106 is associative
GCF of 1105 and 1106 = GCF of 1106 and 1105
1. What is the GCF of 1105 and 1106?
Answer: GCF of 1105 and 1106 is 1.
2. What are the Factors of 1105?
Answer: Factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105. There are 8 integers that are factors of 1105. The greatest factor of 1105 is 1105.
3. What are the Factors of 1106?
Answer: Factors of 1106 are 1, 2, 7, 14, 79, 158, 553, 1106. There are 8 integers that are factors of 1106. The greatest factor of 1106 is 1106.
4. How to Find the GCF of 1105 and 1106?
Answer:
Greatest Common Factor of 1105 and 1106 = 1
Step 1: Find the prime factorization of 1105
1105 = 5 x 13 x 17
Step 2: Find the prime factorization of 1106
1106 = 2 x 7 x 79
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 1105 and 1106 is 1