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 9835, 9838 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9835 and 9838 is 1.
GCF(9835,9838) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9835
5 | 9835 |
7 | 1967 |
281 | 281 |
1 |
Prime factors of 9835 are 5,7,281. Prime factorization of 9835 in exponential form is:
9835 = 51×71×2811
Prime Factorization of 9838
2 | 9838 |
4919 | 4919 |
1 |
Prime factors of 9838 are 2,4919. Prime factorization of 9838 in exponential form is:
9838 = 21×49191
∴ So by taking common prime factors GCF of 9835 and 9838 is 1
Factors of 9835
List of positive integer factors of 9835 that divides 9835 without a remainder.
1,5,7,35,281,1405,1967,9835
Factors of 9838
List of positive integer factors of 9838 that divides 9838 without a remainder.
1,2,4919,9838
Greatest Common Factor
We found the factors and prime factorization of 9835 and 9838. The biggest common factor number is the GCF number.
So the greatest common factor 9835 and 9838 is 1.
Also check out the Least Common Multiple of 9835 and 9838
(i) The GCF of 9835 and 9838 is associative
GCF of 9835 and 9838 = GCF of 9838 and 9835
1. What is the GCF of 9835 and 9838?
Answer: GCF of 9835 and 9838 is 1.
2. What are the Factors of 9835?
Answer: Factors of 9835 are 1, 5, 7, 35, 281, 1405, 1967, 9835. There are 8 integers that are factors of 9835. The greatest factor of 9835 is 9835.
3. What are the Factors of 9838?
Answer: Factors of 9838 are 1, 2, 4919, 9838. There are 4 integers that are factors of 9838. The greatest factor of 9838 is 9838.
4. How to Find the GCF of 9835 and 9838?
Answer:
Greatest Common Factor of 9835 and 9838 = 1
Step 1: Find the prime factorization of 9835
9835 = 5 x 7 x 281
Step 2: Find the prime factorization of 9838
9838 = 2 x 4919
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 9835 and 9838 is 1