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 2091, 2097 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2091 and 2097 is 3.
GCF(2091,2097) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2091
3 | 2091 |
17 | 697 |
41 | 41 |
1 |
Prime factors of 2091 are 3,17,41. Prime factorization of 2091 in exponential form is:
2091 = 31×171×411
Prime Factorization of 2097
3 | 2097 |
3 | 699 |
233 | 233 |
1 |
Prime factors of 2097 are 3,233. Prime factorization of 2097 in exponential form is:
2097 = 32×2331
∴ So by taking common prime factors GCF of 2091 and 2097 is 3
Factors of 2091
List of positive integer factors of 2091 that divides 2091 without a remainder.
1,3,17,41,51,123,697,2091
Factors of 2097
List of positive integer factors of 2097 that divides 2097 without a remainder.
1,3,9,233,699,2097
Greatest Common Factor
We found the factors and prime factorization of 2091 and 2097. The biggest common factor number is the GCF number.
So the greatest common factor 2091 and 2097 is 3.
Also check out the Least Common Multiple of 2091 and 2097
(i) The GCF of 2091 and 2097 is associative
GCF of 2091 and 2097 = GCF of 2097 and 2091
1. What is the GCF of 2091 and 2097?
Answer: GCF of 2091 and 2097 is 3.
2. What are the Factors of 2091?
Answer: Factors of 2091 are 1, 3, 17, 41, 51, 123, 697, 2091. There are 8 integers that are factors of 2091. The greatest factor of 2091 is 2091.
3. What are the Factors of 2097?
Answer: Factors of 2097 are 1, 3, 9, 233, 699, 2097. There are 6 integers that are factors of 2097. The greatest factor of 2097 is 2097.
4. How to Find the GCF of 2091 and 2097?
Answer:
Greatest Common Factor of 2091 and 2097 = 3
Step 1: Find the prime factorization of 2091
2091 = 3 x 17 x 41
Step 2: Find the prime factorization of 2097
2097 = 3 x 3 x 233
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 2091 and 2097 is 3