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 9690, 9697 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9690 and 9697 is 1.
GCF(9690,9697) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9690
2 | 9690 |
3 | 4845 |
5 | 1615 |
17 | 323 |
19 | 19 |
1 |
Prime factors of 9690 are 2,3,5,17,19. Prime factorization of 9690 in exponential form is:
9690 = 21×31×51×171×191
Prime Factorization of 9697
9697 | 9697 |
1 |
Prime factors of 9697 are 9697. Prime factorization of 9697 in exponential form is:
9697 = 96971
∴ So by taking common prime factors GCF of 9690 and 9697 is 1
Factors of 9690
List of positive integer factors of 9690 that divides 9690 without a remainder.
1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690
Factors of 9697
List of positive integer factors of 9697 that divides 9697 without a remainder.
1,9697
Greatest Common Factor
We found the factors and prime factorization of 9690 and 9697. The biggest common factor number is the GCF number.
So the greatest common factor 9690 and 9697 is 1.
Also check out the Least Common Multiple of 9690 and 9697
(i) The GCF of 9690 and 9697 is associative
GCF of 9690 and 9697 = GCF of 9697 and 9690
1. What is the GCF of 9690 and 9697?
Answer: GCF of 9690 and 9697 is 1.
2. What are the Factors of 9690?
Answer: Factors of 9690 are 1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690. There are 32 integers that are factors of 9690. The greatest factor of 9690 is 9690.
3. 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.
4. How to Find the GCF of 9690 and 9697?
Answer:
Greatest Common Factor of 9690 and 9697 = 1
Step 1: Find the prime factorization of 9690
9690 = 2 x 3 x 5 x 17 x 19
Step 2: Find the prime factorization of 9697
9697 = 9697
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 9690 and 9697 is 1