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 7699, 7704 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7699 and 7704 is 1.
GCF(7699,7704) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7699
7699 | 7699 |
1 |
Prime factors of 7699 are 7699. Prime factorization of 7699 in exponential form is:
7699 = 76991
Prime Factorization of 7704
2 | 7704 |
2 | 3852 |
2 | 1926 |
3 | 963 |
3 | 321 |
107 | 107 |
1 |
Prime factors of 7704 are 2.Prime factorization of 7704 in exponential form is:
7704 = 23×32×1071
∴ So by taking common prime factors GCF of 7699 and 7704 is 1
Factors of 7699
List of positive integer factors of 7699 that divides 7699 without a remainder.
1,7699
Factors of 7704
List of positive integer factors of 7704 that divides 7704 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704
Greatest Common Factor
We found the factors and prime factorization of 7699 and 7704. The biggest common factor number is the GCF number.
So the greatest common factor 7699 and 7704 is 1.
Also check out the Least Common Multiple of 7699 and 7704
(i) The GCF of 7699 and 7704 is associative
GCF of 7699 and 7704 = GCF of 7704 and 7699
1. What is the GCF of 7699 and 7704?
Answer: GCF of 7699 and 7704 is 1.
2. What are the Factors of 7699?
Answer: Factors of 7699 are 1, 7699. There are 2 integers that are factors of 7699. The greatest factor of 7699 is 7699.
3. What are the Factors of 7704?
Answer: Factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704. There are 24 integers that are factors of 7704. The greatest factor of 7704 is 7704.
4. How to Find the GCF of 7699 and 7704?
Answer:
Greatest Common Factor of 7699 and 7704 = 1
Step 1: Find the prime factorization of 7699
7699 = 7699
Step 2: Find the prime factorization of 7704
7704 = 2 x 2 x 2 x 3 x 3 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 7699 and 7704 is 1