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 7698, 7703 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7698 and 7703 is 1.
GCF(7698,7703) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7698
2 | 7698 |
3 | 3849 |
1283 | 1283 |
1 |
Prime factors of 7698 are 2,3,1283. Prime factorization of 7698 in exponential form is:
7698 = 21×31×12831
Prime Factorization of 7703
7703 | 7703 |
1 |
Prime factors of 7703 are 7703. Prime factorization of 7703 in exponential form is:
7703 = 77031
∴ So by taking common prime factors GCF of 7698 and 7703 is 1
Factors of 7698
List of positive integer factors of 7698 that divides 7698 without a remainder.
1,2,3,6,1283,2566,3849,7698
Factors of 7703
List of positive integer factors of 7703 that divides 7703 without a remainder.
1,7703
Greatest Common Factor
We found the factors and prime factorization of 7698 and 7703. The biggest common factor number is the GCF number.
So the greatest common factor 7698 and 7703 is 1.
Also check out the Least Common Multiple of 7698 and 7703
(i) The GCF of 7698 and 7703 is associative
GCF of 7698 and 7703 = GCF of 7703 and 7698
1. What is the GCF of 7698 and 7703?
Answer: GCF of 7698 and 7703 is 1.
2. What are the Factors of 7698?
Answer: Factors of 7698 are 1, 2, 3, 6, 1283, 2566, 3849, 7698. There are 8 integers that are factors of 7698. The greatest factor of 7698 is 7698.
3. What are the Factors of 7703?
Answer: Factors of 7703 are 1, 7703. There are 2 integers that are factors of 7703. The greatest factor of 7703 is 7703.
4. How to Find the GCF of 7698 and 7703?
Answer:
Greatest Common Factor of 7698 and 7703 = 1
Step 1: Find the prime factorization of 7698
7698 = 2 x 3 x 1283
Step 2: Find the prime factorization of 7703
7703 = 7703
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 7698 and 7703 is 1