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 6681, 6682 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6681 and 6682 is 1.
GCF(6681,6682) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6681
3 | 6681 |
17 | 2227 |
131 | 131 |
1 |
Prime factors of 6681 are 3,17,131. Prime factorization of 6681 in exponential form is:
6681 = 31×171×1311
Prime Factorization of 6682
2 | 6682 |
13 | 3341 |
257 | 257 |
1 |
Prime factors of 6682 are 2,13,257. Prime factorization of 6682 in exponential form is:
6682 = 21×131×2571
∴ So by taking common prime factors GCF of 6681 and 6682 is 1
Factors of 6681
List of positive integer factors of 6681 that divides 6681 without a remainder.
1,3,17,51,131,393,2227,6681
Factors of 6682
List of positive integer factors of 6682 that divides 6682 without a remainder.
1,2,13,26,257,514,3341,6682
Greatest Common Factor
We found the factors and prime factorization of 6681 and 6682. The biggest common factor number is the GCF number.
So the greatest common factor 6681 and 6682 is 1.
Also check out the Least Common Multiple of 6681 and 6682
(i) The GCF of 6681 and 6682 is associative
GCF of 6681 and 6682 = GCF of 6682 and 6681
1. What is the GCF of 6681 and 6682?
Answer: GCF of 6681 and 6682 is 1.
2. What are the Factors of 6681?
Answer: Factors of 6681 are 1, 3, 17, 51, 131, 393, 2227, 6681. There are 8 integers that are factors of 6681. The greatest factor of 6681 is 6681.
3. What are the Factors of 6682?
Answer: Factors of 6682 are 1, 2, 13, 26, 257, 514, 3341, 6682. There are 8 integers that are factors of 6682. The greatest factor of 6682 is 6682.
4. How to Find the GCF of 6681 and 6682?
Answer:
Greatest Common Factor of 6681 and 6682 = 1
Step 1: Find the prime factorization of 6681
6681 = 3 x 17 x 131
Step 2: Find the prime factorization of 6682
6682 = 2 x 13 x 257
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 6681 and 6682 is 1