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 9846, 9853 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9846 and 9853 is 1.
GCF(9846,9853) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9846
2 | 9846 |
3 | 4923 |
3 | 1641 |
547 | 547 |
1 |
Prime factors of 9846 are 2,3,547. Prime factorization of 9846 in exponential form is:
9846 = 21×32×5471
Prime Factorization of 9853
59 | 9853 |
167 | 167 |
1 |
Prime factors of 9853 are 59,167. Prime factorization of 9853 in exponential form is:
9853 = 591×1671
∴ So by taking common prime factors GCF of 9846 and 9853 is 1
Factors of 9846
List of positive integer factors of 9846 that divides 9846 without a remainder.
1,2,3,6,9,18,547,1094,1641,3282,4923,9846
Factors of 9853
List of positive integer factors of 9853 that divides 9853 without a remainder.
1,59,167,9853
Greatest Common Factor
We found the factors and prime factorization of 9846 and 9853. The biggest common factor number is the GCF number.
So the greatest common factor 9846 and 9853 is 1.
Also check out the Least Common Multiple of 9846 and 9853
(i) The GCF of 9846 and 9853 is associative
GCF of 9846 and 9853 = GCF of 9853 and 9846
1. What is the GCF of 9846 and 9853?
Answer: GCF of 9846 and 9853 is 1.
2. What are the Factors of 9846?
Answer: Factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846. There are 12 integers that are factors of 9846. The greatest factor of 9846 is 9846.
3. What are the Factors of 9853?
Answer: Factors of 9853 are 1, 59, 167, 9853. There are 4 integers that are factors of 9853. The greatest factor of 9853 is 9853.
4. How to Find the GCF of 9846 and 9853?
Answer:
Greatest Common Factor of 9846 and 9853 = 1
Step 1: Find the prime factorization of 9846
9846 = 2 x 3 x 3 x 547
Step 2: Find the prime factorization of 9853
9853 = 59 x 167
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 9846 and 9853 is 1