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 7779, 7782 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7779 and 7782 is 3.
GCF(7779,7782) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7779
3 | 7779 |
2593 | 2593 |
1 |
Prime factors of 7779 are 3,2593. Prime factorization of 7779 in exponential form is:
7779 = 31×25931
Prime Factorization of 7782
2 | 7782 |
3 | 3891 |
1297 | 1297 |
1 |
Prime factors of 7782 are 2,3,1297. Prime factorization of 7782 in exponential form is:
7782 = 21×31×12971
∴ So by taking common prime factors GCF of 7779 and 7782 is 3
Factors of 7779
List of positive integer factors of 7779 that divides 7779 without a remainder.
1,3,2593,7779
Factors of 7782
List of positive integer factors of 7782 that divides 7782 without a remainder.
1,2,3,6,1297,2594,3891,7782
Greatest Common Factor
We found the factors and prime factorization of 7779 and 7782. The biggest common factor number is the GCF number.
So the greatest common factor 7779 and 7782 is 3.
Also check out the Least Common Multiple of 7779 and 7782
(i) The GCF of 7779 and 7782 is associative
GCF of 7779 and 7782 = GCF of 7782 and 7779
1. What is the GCF of 7779 and 7782?
Answer: GCF of 7779 and 7782 is 3.
2. What are the Factors of 7779?
Answer: Factors of 7779 are 1, 3, 2593, 7779. There are 4 integers that are factors of 7779. The greatest factor of 7779 is 7779.
3. What are the Factors of 7782?
Answer: Factors of 7782 are 1, 2, 3, 6, 1297, 2594, 3891, 7782. There are 8 integers that are factors of 7782. The greatest factor of 7782 is 7782.
4. How to Find the GCF of 7779 and 7782?
Answer:
Greatest Common Factor of 7779 and 7782 = 3
Step 1: Find the prime factorization of 7779
7779 = 3 x 2593
Step 2: Find the prime factorization of 7782
7782 = 2 x 3 x 1297
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 7779 and 7782 is 3