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 6777, 6780 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6777 and 6780 is 3.
GCF(6777,6780) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6780
2 | 6780 |
2 | 3390 |
3 | 1695 |
5 | 565 |
113 | 113 |
1 |
Prime factors of 6780 are 2,3,5,113. Prime factorization of 6780 in exponential form is:
6780 = 22×31×51×1131
∴ So by taking common prime factors GCF of 6777 and 6780 is 3
Factors of 6777
List of positive integer factors of 6777 that divides 6777 without a remainder.
1,3,9,27,251,753,2259,6777
Factors of 6780
List of positive integer factors of 6780 that divides 6780 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780
Greatest Common Factor
We found the factors and prime factorization of 6777 and 6780. The biggest common factor number is the GCF number.
So the greatest common factor 6777 and 6780 is 3.
Also check out the Least Common Multiple of 6777 and 6780
(i) The GCF of 6777 and 6780 is associative
GCF of 6777 and 6780 = GCF of 6780 and 6777
1. What is the GCF of 6777 and 6780?
Answer: GCF of 6777 and 6780 is 3.
2. 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.
3. What are the Factors of 6780?
Answer: Factors of 6780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780. There are 24 integers that are factors of 6780. The greatest factor of 6780 is 6780.
4. How to Find the GCF of 6777 and 6780?
Answer:
Greatest Common Factor of 6777 and 6780 = 3
Step 1: Find the prime factorization of 6777
6777 = 3 x 3 x 3 x 251
Step 2: Find the prime factorization of 6780
6780 = 2 x 2 x 3 x 5 x 113
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 6777 and 6780 is 3