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 1097, 1100 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1097 and 1100 is 1.
GCF(1097,1100) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1097
1097 | 1097 |
1 |
Prime factors of 1097 are 1097. Prime factorization of 1097 in exponential form is:
1097 = 10971
Prime Factorization of 1100
2 | 1100 |
2 | 550 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 1100 are 2.Prime factorization of 1100 in exponential form is:
1100 = 22×52×111
∴ So by taking common prime factors GCF of 1097 and 1100 is 1
Factors of 1097
List of positive integer factors of 1097 that divides 1097 without a remainder.
1,1097
Factors of 1100
List of positive integer factors of 1100 that divides 1100 without a remainder.
1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100
Greatest Common Factor
We found the factors and prime factorization of 1097 and 1100. The biggest common factor number is the GCF number.
So the greatest common factor 1097 and 1100 is 1.
Also check out the Least Common Multiple of 1097 and 1100
(i) The GCF of 1097 and 1100 is associative
GCF of 1097 and 1100 = GCF of 1100 and 1097
1. What is the GCF of 1097 and 1100?
Answer: GCF of 1097 and 1100 is 1.
2. What are the Factors of 1097?
Answer: Factors of 1097 are 1, 1097. There are 2 integers that are factors of 1097. The greatest factor of 1097 is 1097.
3. What are the Factors of 1100?
Answer: Factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100. There are 18 integers that are factors of 1100. The greatest factor of 1100 is 1100.
4. How to Find the GCF of 1097 and 1100?
Answer:
Greatest Common Factor of 1097 and 1100 = 1
Step 1: Find the prime factorization of 1097
1097 = 1097
Step 2: Find the prime factorization of 1100
1100 = 2 x 2 x 5 x 5 x 11
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 1097 and 1100 is 1