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 9697, 9704 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9697 and 9704 is 1.
GCF(9697,9704) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9697
9697 | 9697 |
1 |
Prime factors of 9697 are 9697. Prime factorization of 9697 in exponential form is:
9697 = 96971
Prime Factorization of 9704
2 | 9704 |
2 | 4852 |
2 | 2426 |
1213 | 1213 |
1 |
Prime factors of 9704 are 2.Prime factorization of 9704 in exponential form is:
9704 = 23×12131
∴ So by taking common prime factors GCF of 9697 and 9704 is 1
Factors of 9697
List of positive integer factors of 9697 that divides 9697 without a remainder.
1,9697
Factors of 9704
List of positive integer factors of 9704 that divides 9704 without a remainder.
1,2,4,8,1213,2426,4852,9704
Greatest Common Factor
We found the factors and prime factorization of 9697 and 9704. The biggest common factor number is the GCF number.
So the greatest common factor 9697 and 9704 is 1.
Also check out the Least Common Multiple of 9697 and 9704
(i) The GCF of 9697 and 9704 is associative
GCF of 9697 and 9704 = GCF of 9704 and 9697
1. What is the GCF of 9697 and 9704?
Answer: GCF of 9697 and 9704 is 1.
2. What are the Factors of 9697?
Answer: Factors of 9697 are 1, 9697. There are 2 integers that are factors of 9697. The greatest factor of 9697 is 9697.
3. What are the Factors of 9704?
Answer: Factors of 9704 are 1, 2, 4, 8, 1213, 2426, 4852, 9704. There are 8 integers that are factors of 9704. The greatest factor of 9704 is 9704.
4. How to Find the GCF of 9697 and 9704?
Answer:
Greatest Common Factor of 9697 and 9704 = 1
Step 1: Find the prime factorization of 9697
9697 = 9697
Step 2: Find the prime factorization of 9704
9704 = 2 x 2 x 2 x 1213
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 9697 and 9704 is 1