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 6771, 6777 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6771 and 6777 is 3.
GCF(6771,6777) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6771
3 | 6771 |
37 | 2257 |
61 | 61 |
1 |
Prime factors of 6771 are 3,37,61. Prime factorization of 6771 in exponential form is:
6771 = 31×371×611
Prime Factorization of 6777
3 | 6777 |
3 | 2259 |
3 | 753 |
251 | 251 |
1 |
Prime factors of 6777 are 3,251. Prime factorization of 6777 in exponential form is:
6777 = 33×2511
∴ So by taking common prime factors GCF of 6771 and 6777 is 3
Factors of 6771
List of positive integer factors of 6771 that divides 6771 without a remainder.
1,3,37,61,111,183,2257,6771
Factors of 6777
List of positive integer factors of 6777 that divides 6777 without a remainder.
1,3,9,27,251,753,2259,6777
Greatest Common Factor
We found the factors and prime factorization of 6771 and 6777. The biggest common factor number is the GCF number.
So the greatest common factor 6771 and 6777 is 3.
Also check out the Least Common Multiple of 6771 and 6777
(i) The GCF of 6771 and 6777 is associative
GCF of 6771 and 6777 = GCF of 6777 and 6771
1. What is the GCF of 6771 and 6777?
Answer: GCF of 6771 and 6777 is 3.
2. What are the Factors of 6771?
Answer: Factors of 6771 are 1, 3, 37, 61, 111, 183, 2257, 6771. There are 8 integers that are factors of 6771. The greatest factor of 6771 is 6771.
3. What are the Factors of 6777?
Answer: Factors of 6777 are 1, 3, 9, 27, 251, 753, 2259, 6777. There are 8 integers that are factors of 6777. The greatest factor of 6777 is 6777.
4. How to Find the GCF of 6771 and 6777?
Answer:
Greatest Common Factor of 6771 and 6777 = 3
Step 1: Find the prime factorization of 6771
6771 = 3 x 37 x 61
Step 2: Find the prime factorization of 6777
6777 = 3 x 3 x 3 x 251
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 6771 and 6777 is 3