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, 2085 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2084 and 2085 is 1.
GCF(2084,2085) = 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 2085
3 | 2085 |
5 | 695 |
139 | 139 |
1 |
Prime factors of 2085 are 3,5,139. Prime factorization of 2085 in exponential form is:
2085 = 31×51×1391
∴ So by taking common prime factors GCF of 2084 and 2085 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 2085
List of positive integer factors of 2085 that divides 2085 without a remainder.
1,3,5,15,139,417,695,2085
Greatest Common Factor
We found the factors and prime factorization of 2084 and 2085. The biggest common factor number is the GCF number.
So the greatest common factor 2084 and 2085 is 1.
Also check out the Least Common Multiple of 2084 and 2085
(i) The GCF of 2084 and 2085 is associative
GCF of 2084 and 2085 = GCF of 2085 and 2084
1. What is the GCF of 2084 and 2085?
Answer: GCF of 2084 and 2085 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 2085?
Answer: Factors of 2085 are 1, 3, 5, 15, 139, 417, 695, 2085. There are 8 integers that are factors of 2085. The greatest factor of 2085 is 2085.
4. How to Find the GCF of 2084 and 2085?
Answer:
Greatest Common Factor of 2084 and 2085 = 1
Step 1: Find the prime factorization of 2084
2084 = 2 x 2 x 521
Step 2: Find the prime factorization of 2085
2085 = 3 x 5 x 139
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 2085 is 1