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 6827, 6832 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6827 and 6832 is 1.
GCF(6827,6832) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6827
6827 | 6827 |
1 |
Prime factors of 6827 are 6827. Prime factorization of 6827 in exponential form is:
6827 = 68271
Prime Factorization of 6832
2 | 6832 |
2 | 3416 |
2 | 1708 |
2 | 854 |
7 | 427 |
61 | 61 |
1 |
Prime factors of 6832 are 2.Prime factorization of 6832 in exponential form is:
6832 = 24×71×611
∴ So by taking common prime factors GCF of 6827 and 6832 is 1
Factors of 6827
List of positive integer factors of 6827 that divides 6827 without a remainder.
1,6827
Factors of 6832
List of positive integer factors of 6832 that divides 6832 without a remainder.
1,2,4,7,8,14,16,28,56,61,112,122,244,427,488,854,976,1708,3416,6832
Greatest Common Factor
We found the factors and prime factorization of 6827 and 6832. The biggest common factor number is the GCF number.
So the greatest common factor 6827 and 6832 is 1.
Also check out the Least Common Multiple of 6827 and 6832
(i) The GCF of 6827 and 6832 is associative
GCF of 6827 and 6832 = GCF of 6832 and 6827
1. What is the GCF of 6827 and 6832?
Answer: GCF of 6827 and 6832 is 1.
2. What are the Factors of 6827?
Answer: Factors of 6827 are 1, 6827. There are 2 integers that are factors of 6827. The greatest factor of 6827 is 6827.
3. What are the Factors of 6832?
Answer: Factors of 6832 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 61, 112, 122, 244, 427, 488, 854, 976, 1708, 3416, 6832. There are 20 integers that are factors of 6832. The greatest factor of 6832 is 6832.
4. How to Find the GCF of 6827 and 6832?
Answer:
Greatest Common Factor of 6827 and 6832 = 1
Step 1: Find the prime factorization of 6827
6827 = 6827
Step 2: Find the prime factorization of 6832
6832 = 2 x 2 x 2 x 2 x 7 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 6827 and 6832 is 1