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 2681, 2684 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2681 and 2684 is 1.
GCF(2681,2684) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2681
7 | 2681 |
383 | 383 |
1 |
Prime factors of 2681 are 7,383. Prime factorization of 2681 in exponential form is:
2681 = 71×3831
Prime Factorization of 2684
2 | 2684 |
2 | 1342 |
11 | 671 |
61 | 61 |
1 |
Prime factors of 2684 are 2,11,61. Prime factorization of 2684 in exponential form is:
2684 = 22×111×611
∴ So by taking common prime factors GCF of 2681 and 2684 is 1
Factors of 2681
List of positive integer factors of 2681 that divides 2681 without a remainder.
1,7,383,2681
Factors of 2684
List of positive integer factors of 2684 that divides 2684 without a remainder.
1,2,4,11,22,44,61,122,244,671,1342,2684
Greatest Common Factor
We found the factors and prime factorization of 2681 and 2684. The biggest common factor number is the GCF number.
So the greatest common factor 2681 and 2684 is 1.
Also check out the Least Common Multiple of 2681 and 2684
(i) The GCF of 2681 and 2684 is associative
GCF of 2681 and 2684 = GCF of 2684 and 2681
1. What is the GCF of 2681 and 2684?
Answer: GCF of 2681 and 2684 is 1.
2. What are the Factors of 2681?
Answer: Factors of 2681 are 1, 7, 383, 2681. There are 4 integers that are factors of 2681. The greatest factor of 2681 is 2681.
3. What are the Factors of 2684?
Answer: Factors of 2684 are 1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342, 2684. There are 12 integers that are factors of 2684. The greatest factor of 2684 is 2684.
4. How to Find the GCF of 2681 and 2684?
Answer:
Greatest Common Factor of 2681 and 2684 = 1
Step 1: Find the prime factorization of 2681
2681 = 7 x 383
Step 2: Find the prime factorization of 2684
2684 = 2 x 2 x 11 x 61
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 2681 and 2684 is 1