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 6774, 6779 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6774 and 6779 is 1.
GCF(6774,6779) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6774
2 | 6774 |
3 | 3387 |
1129 | 1129 |
1 |
Prime factors of 6774 are 2,3,1129. Prime factorization of 6774 in exponential form is:
6774 = 21×31×11291
Prime Factorization of 6779
6779 | 6779 |
1 |
Prime factors of 6779 are 6779. Prime factorization of 6779 in exponential form is:
6779 = 67791
∴ So by taking common prime factors GCF of 6774 and 6779 is 1
Factors of 6774
List of positive integer factors of 6774 that divides 6774 without a remainder.
1,2,3,6,1129,2258,3387,6774
Factors of 6779
List of positive integer factors of 6779 that divides 6779 without a remainder.
1,6779
Greatest Common Factor
We found the factors and prime factorization of 6774 and 6779. The biggest common factor number is the GCF number.
So the greatest common factor 6774 and 6779 is 1.
Also check out the Least Common Multiple of 6774 and 6779
(i) The GCF of 6774 and 6779 is associative
GCF of 6774 and 6779 = GCF of 6779 and 6774
1. What is the GCF of 6774 and 6779?
Answer: GCF of 6774 and 6779 is 1.
2. What are the Factors of 6774?
Answer: Factors of 6774 are 1, 2, 3, 6, 1129, 2258, 3387, 6774. There are 8 integers that are factors of 6774. The greatest factor of 6774 is 6774.
3. What are the Factors of 6779?
Answer: Factors of 6779 are 1, 6779. There are 2 integers that are factors of 6779. The greatest factor of 6779 is 6779.
4. How to Find the GCF of 6774 and 6779?
Answer:
Greatest Common Factor of 6774 and 6779 = 1
Step 1: Find the prime factorization of 6774
6774 = 2 x 3 x 1129
Step 2: Find the prime factorization of 6779
6779 = 6779
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 6774 and 6779 is 1