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 9861, 9867 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9861 and 9867 is 3.
GCF(9861,9867) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9861
3 | 9861 |
19 | 3287 |
173 | 173 |
1 |
Prime factors of 9861 are 3,19,173. Prime factorization of 9861 in exponential form is:
9861 = 31×191×1731
Prime Factorization of 9867
3 | 9867 |
11 | 3289 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 9867 are 3,11,13,23. Prime factorization of 9867 in exponential form is:
9867 = 31×111×131×231
∴ So by taking common prime factors GCF of 9861 and 9867 is 3
Factors of 9861
List of positive integer factors of 9861 that divides 9861 without a remainder.
1,3,19,57,173,519,3287,9861
Factors of 9867
List of positive integer factors of 9867 that divides 9867 without a remainder.
1,3,11,13,23,33,39,69,143,253,299,429,759,897,3289,9867
Greatest Common Factor
We found the factors and prime factorization of 9861 and 9867. The biggest common factor number is the GCF number.
So the greatest common factor 9861 and 9867 is 3.
Also check out the Least Common Multiple of 9861 and 9867
(i) The GCF of 9861 and 9867 is associative
GCF of 9861 and 9867 = GCF of 9867 and 9861
1. What is the GCF of 9861 and 9867?
Answer: GCF of 9861 and 9867 is 3.
2. What are the Factors of 9861?
Answer: Factors of 9861 are 1, 3, 19, 57, 173, 519, 3287, 9861. There are 8 integers that are factors of 9861. The greatest factor of 9861 is 9861.
3. What are the Factors of 9867?
Answer: Factors of 9867 are 1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867. There are 16 integers that are factors of 9867. The greatest factor of 9867 is 9867.
4. How to Find the GCF of 9861 and 9867?
Answer:
Greatest Common Factor of 9861 and 9867 = 3
Step 1: Find the prime factorization of 9861
9861 = 3 x 19 x 173
Step 2: Find the prime factorization of 9867
9867 = 3 x 11 x 13 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 9861 and 9867 is 3