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 1091, 1095 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1091 and 1095 is 1.
GCF(1091,1095) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1091
1091 | 1091 |
1 |
Prime factors of 1091 are 1091. Prime factorization of 1091 in exponential form is:
1091 = 10911
Prime Factorization of 1095
3 | 1095 |
5 | 365 |
73 | 73 |
1 |
Prime factors of 1095 are 3.Prime factorization of 1095 in exponential form is:
1095 = 31×51×731
∴ So by taking common prime factors GCF of 1091 and 1095 is 1
Factors of 1091
List of positive integer factors of 1091 that divides 1091 without a remainder.
1,1091
Factors of 1095
List of positive integer factors of 1095 that divides 1095 without a remainder.
1,3,5,15,73,219,365,1095
Greatest Common Factor
We found the factors and prime factorization of 1091 and 1095. The biggest common factor number is the GCF number.
So the greatest common factor 1091 and 1095 is 1.
Also check out the Least Common Multiple of 1091 and 1095
(i) The GCF of 1091 and 1095 is associative
GCF of 1091 and 1095 = GCF of 1095 and 1091
1. What is the GCF of 1091 and 1095?
Answer: GCF of 1091 and 1095 is 1.
2. 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.
3. What are the Factors of 1095?
Answer: Factors of 1095 are 1, 3, 5, 15, 73, 219, 365, 1095. There are 8 integers that are factors of 1095. The greatest factor of 1095 is 1095.
4. How to Find the GCF of 1091 and 1095?
Answer:
Greatest Common Factor of 1091 and 1095 = 1
Step 1: Find the prime factorization of 1091
1091 = 1091
Step 2: Find the prime factorization of 1095
1095 = 3 x 5 x 73
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 1091 and 1095 is 1