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 9890, 9897 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9890 and 9897 is 1.
GCF(9890,9897) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9890
2 | 9890 |
5 | 4945 |
23 | 989 |
43 | 43 |
1 |
Prime factors of 9890 are 2,5,23,43. Prime factorization of 9890 in exponential form is:
9890 = 21×51×231×431
Prime Factorization of 9897
3 | 9897 |
3299 | 3299 |
1 |
Prime factors of 9897 are 3,3299. Prime factorization of 9897 in exponential form is:
9897 = 31×32991
∴ So by taking common prime factors GCF of 9890 and 9897 is 1
Factors of 9890
List of positive integer factors of 9890 that divides 9890 without a remainder.
1,2,5,10,23,43,46,86,115,215,230,430,989,1978,4945,9890
Factors of 9897
List of positive integer factors of 9897 that divides 9897 without a remainder.
1,3,3299,9897
Greatest Common Factor
We found the factors and prime factorization of 9890 and 9897. The biggest common factor number is the GCF number.
So the greatest common factor 9890 and 9897 is 1.
Also check out the Least Common Multiple of 9890 and 9897
(i) The GCF of 9890 and 9897 is associative
GCF of 9890 and 9897 = GCF of 9897 and 9890
1. What is the GCF of 9890 and 9897?
Answer: GCF of 9890 and 9897 is 1.
2. What are the Factors of 9890?
Answer: Factors of 9890 are 1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890. There are 16 integers that are factors of 9890. The greatest factor of 9890 is 9890.
3. What are the Factors of 9897?
Answer: Factors of 9897 are 1, 3, 3299, 9897. There are 4 integers that are factors of 9897. The greatest factor of 9897 is 9897.
4. How to Find the GCF of 9890 and 9897?
Answer:
Greatest Common Factor of 9890 and 9897 = 1
Step 1: Find the prime factorization of 9890
9890 = 2 x 5 x 23 x 43
Step 2: Find the prime factorization of 9897
9897 = 3 x 3299
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 9890 and 9897 is 1