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 7797, 7799 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7797 and 7799 is 1.
GCF(7797,7799) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7797
3 | 7797 |
23 | 2599 |
113 | 113 |
1 |
Prime factors of 7797 are 3,23,113. Prime factorization of 7797 in exponential form is:
7797 = 31×231×1131
Prime Factorization of 7799
11 | 7799 |
709 | 709 |
1 |
Prime factors of 7799 are 11,709. Prime factorization of 7799 in exponential form is:
7799 = 111×7091
∴ So by taking common prime factors GCF of 7797 and 7799 is 1
Factors of 7797
List of positive integer factors of 7797 that divides 7797 without a remainder.
1,3,23,69,113,339,2599,7797
Factors of 7799
List of positive integer factors of 7799 that divides 7799 without a remainder.
1,11,709,7799
Greatest Common Factor
We found the factors and prime factorization of 7797 and 7799. The biggest common factor number is the GCF number.
So the greatest common factor 7797 and 7799 is 1.
Also check out the Least Common Multiple of 7797 and 7799
(i) The GCF of 7797 and 7799 is associative
GCF of 7797 and 7799 = GCF of 7799 and 7797
1. What is the GCF of 7797 and 7799?
Answer: GCF of 7797 and 7799 is 1.
2. What are the Factors of 7797?
Answer: Factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797. There are 8 integers that are factors of 7797. The greatest factor of 7797 is 7797.
3. What are the Factors of 7799?
Answer: Factors of 7799 are 1, 11, 709, 7799. There are 4 integers that are factors of 7799. The greatest factor of 7799 is 7799.
4. How to Find the GCF of 7797 and 7799?
Answer:
Greatest Common Factor of 7797 and 7799 = 1
Step 1: Find the prime factorization of 7797
7797 = 3 x 23 x 113
Step 2: Find the prime factorization of 7799
7799 = 11 x 709
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 7797 and 7799 is 1