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 2084, 2089 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2084 and 2089 is 1.
GCF(2084,2089) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2084
2 | 2084 |
2 | 1042 |
521 | 521 |
1 |
Prime factors of 2084 are 2,521. Prime factorization of 2084 in exponential form is:
2084 = 22×5211
Prime Factorization of 2089
2089 | 2089 |
1 |
Prime factors of 2089 are 2089. Prime factorization of 2089 in exponential form is:
2089 = 20891
∴ So by taking common prime factors GCF of 2084 and 2089 is 1
Factors of 2084
List of positive integer factors of 2084 that divides 2084 without a remainder.
1,2,4,521,1042,2084
Factors of 2089
List of positive integer factors of 2089 that divides 2089 without a remainder.
1,2089
Greatest Common Factor
We found the factors and prime factorization of 2084 and 2089. The biggest common factor number is the GCF number.
So the greatest common factor 2084 and 2089 is 1.
Also check out the Least Common Multiple of 2084 and 2089
(i) The GCF of 2084 and 2089 is associative
GCF of 2084 and 2089 = GCF of 2089 and 2084
1. What is the GCF of 2084 and 2089?
Answer: GCF of 2084 and 2089 is 1.
2. What are the Factors of 2084?
Answer: Factors of 2084 are 1, 2, 4, 521, 1042, 2084. There are 6 integers that are factors of 2084. The greatest factor of 2084 is 2084.
3. What are the Factors of 2089?
Answer: Factors of 2089 are 1, 2089. There are 2 integers that are factors of 2089. The greatest factor of 2089 is 2089.
4. How to Find the GCF of 2084 and 2089?
Answer:
Greatest Common Factor of 2084 and 2089 = 1
Step 1: Find the prime factorization of 2084
2084 = 2 x 2 x 521
Step 2: Find the prime factorization of 2089
2089 = 2089
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 2084 and 2089 is 1