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 7804, 7811 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7804 and 7811 is 1.
GCF(7804,7811) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7811
73 | 7811 |
107 | 107 |
1 |
Prime factors of 7811 are 73,107. Prime factorization of 7811 in exponential form is:
7811 = 731×1071
∴ So by taking common prime factors GCF of 7804 and 7811 is 1
Factors of 7804
List of positive integer factors of 7804 that divides 7804 without a remainder.
1,2,4,1951,3902,7804
Factors of 7811
List of positive integer factors of 7811 that divides 7811 without a remainder.
1,73,107,7811
Greatest Common Factor
We found the factors and prime factorization of 7804 and 7811. The biggest common factor number is the GCF number.
So the greatest common factor 7804 and 7811 is 1.
Also check out the Least Common Multiple of 7804 and 7811
(i) The GCF of 7804 and 7811 is associative
GCF of 7804 and 7811 = GCF of 7811 and 7804
1. What is the GCF of 7804 and 7811?
Answer: GCF of 7804 and 7811 is 1.
2. 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.
3. What are the Factors of 7811?
Answer: Factors of 7811 are 1, 73, 107, 7811. There are 4 integers that are factors of 7811. The greatest factor of 7811 is 7811.
4. How to Find the GCF of 7804 and 7811?
Answer:
Greatest Common Factor of 7804 and 7811 = 1
Step 1: Find the prime factorization of 7804
7804 = 2 x 2 x 1951
Step 2: Find the prime factorization of 7811
7811 = 73 x 107
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 7804 and 7811 is 1