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 6842, 6845 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6842 and 6845 is 1.
GCF(6842,6845) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6842
2 | 6842 |
11 | 3421 |
311 | 311 |
1 |
Prime factors of 6842 are 2,11,311. Prime factorization of 6842 in exponential form is:
6842 = 21×111×3111
Prime Factorization of 6845
5 | 6845 |
37 | 1369 |
37 | 37 |
1 |
Prime factors of 6845 are 5,37. Prime factorization of 6845 in exponential form is:
6845 = 51×372
∴ So by taking common prime factors GCF of 6842 and 6845 is 1
Factors of 6842
List of positive integer factors of 6842 that divides 6842 without a remainder.
1,2,11,22,311,622,3421,6842
Factors of 6845
List of positive integer factors of 6845 that divides 6845 without a remainder.
1,5,37,185,1369,6845
Greatest Common Factor
We found the factors and prime factorization of 6842 and 6845. The biggest common factor number is the GCF number.
So the greatest common factor 6842 and 6845 is 1.
Also check out the Least Common Multiple of 6842 and 6845
(i) The GCF of 6842 and 6845 is associative
GCF of 6842 and 6845 = GCF of 6845 and 6842
1. What is the GCF of 6842 and 6845?
Answer: GCF of 6842 and 6845 is 1.
2. What are the Factors of 6842?
Answer: Factors of 6842 are 1, 2, 11, 22, 311, 622, 3421, 6842. There are 8 integers that are factors of 6842. The greatest factor of 6842 is 6842.
3. What are the Factors of 6845?
Answer: Factors of 6845 are 1, 5, 37, 185, 1369, 6845. There are 6 integers that are factors of 6845. The greatest factor of 6845 is 6845.
4. How to Find the GCF of 6842 and 6845?
Answer:
Greatest Common Factor of 6842 and 6845 = 1
Step 1: Find the prime factorization of 6842
6842 = 2 x 11 x 311
Step 2: Find the prime factorization of 6845
6845 = 5 x 37 x 37
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 6842 and 6845 is 1