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 7799, 7804 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7799 and 7804 is 1.
GCF(7799,7804) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7804
2 | 7804 |
2 | 3902 |
1951 | 1951 |
1 |
Prime factors of 7804 are 2,1951. Prime factorization of 7804 in exponential form is:
7804 = 22×19511
∴ So by taking common prime factors GCF of 7799 and 7804 is 1
Factors of 7799
List of positive integer factors of 7799 that divides 7799 without a remainder.
1,11,709,7799
Factors of 7804
List of positive integer factors of 7804 that divides 7804 without a remainder.
1,2,4,1951,3902,7804
Greatest Common Factor
We found the factors and prime factorization of 7799 and 7804. The biggest common factor number is the GCF number.
So the greatest common factor 7799 and 7804 is 1.
Also check out the Least Common Multiple of 7799 and 7804
(i) The GCF of 7799 and 7804 is associative
GCF of 7799 and 7804 = GCF of 7804 and 7799
1. What is the GCF of 7799 and 7804?
Answer: GCF of 7799 and 7804 is 1.
2. 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.
3. What are the Factors of 7804?
Answer: Factors of 7804 are 1, 2, 4, 1951, 3902, 7804. There are 6 integers that are factors of 7804. The greatest factor of 7804 is 7804.
4. How to Find the GCF of 7799 and 7804?
Answer:
Greatest Common Factor of 7799 and 7804 = 1
Step 1: Find the prime factorization of 7799
7799 = 11 x 709
Step 2: Find the prime factorization of 7804
7804 = 2 x 2 x 1951
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 7799 and 7804 is 1