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 9848, 9849 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9848 and 9849 is 1.
GCF(9848,9849) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9848
2 | 9848 |
2 | 4924 |
2 | 2462 |
1231 | 1231 |
1 |
Prime factors of 9848 are 2,1231. Prime factorization of 9848 in exponential form is:
9848 = 23×12311
Prime Factorization of 9849
3 | 9849 |
7 | 3283 |
7 | 469 |
67 | 67 |
1 |
Prime factors of 9849 are 3,7,67. Prime factorization of 9849 in exponential form is:
9849 = 31×72×671
∴ So by taking common prime factors GCF of 9848 and 9849 is 1
Factors of 9848
List of positive integer factors of 9848 that divides 9848 without a remainder.
1,2,4,8,1231,2462,4924,9848
Factors of 9849
List of positive integer factors of 9849 that divides 9849 without a remainder.
1,3,7,21,49,67,147,201,469,1407,3283,9849
Greatest Common Factor
We found the factors and prime factorization of 9848 and 9849. The biggest common factor number is the GCF number.
So the greatest common factor 9848 and 9849 is 1.
Also check out the Least Common Multiple of 9848 and 9849
(i) The GCF of 9848 and 9849 is associative
GCF of 9848 and 9849 = GCF of 9849 and 9848
1. What is the GCF of 9848 and 9849?
Answer: GCF of 9848 and 9849 is 1.
2. What are the Factors of 9848?
Answer: Factors of 9848 are 1, 2, 4, 8, 1231, 2462, 4924, 9848. There are 8 integers that are factors of 9848. The greatest factor of 9848 is 9848.
3. What are the Factors of 9849?
Answer: Factors of 9849 are 1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, 9849. There are 12 integers that are factors of 9849. The greatest factor of 9849 is 9849.
4. How to Find the GCF of 9848 and 9849?
Answer:
Greatest Common Factor of 9848 and 9849 = 1
Step 1: Find the prime factorization of 9848
9848 = 2 x 2 x 2 x 1231
Step 2: Find the prime factorization of 9849
9849 = 3 x 7 x 7 x 67
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 9848 and 9849 is 1