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 9860, 9861 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9860 and 9861 is 1.
GCF(9860,9861) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9860
2 | 9860 |
2 | 4930 |
5 | 2465 |
17 | 493 |
29 | 29 |
1 |
Prime factors of 9860 are 2,5,17,29. Prime factorization of 9860 in exponential form is:
9860 = 22×51×171×291
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
∴ So by taking common prime factors GCF of 9860 and 9861 is 1
Factors of 9860
List of positive integer factors of 9860 that divides 9860 without a remainder.
1,2,4,5,10,17,20,29,34,58,68,85,116,145,170,290,340,493,580,986,1972,2465,4930,9860
Factors of 9861
List of positive integer factors of 9861 that divides 9861 without a remainder.
1,3,19,57,173,519,3287,9861
Greatest Common Factor
We found the factors and prime factorization of 9860 and 9861. The biggest common factor number is the GCF number.
So the greatest common factor 9860 and 9861 is 1.
Also check out the Least Common Multiple of 9860 and 9861
(i) The GCF of 9860 and 9861 is associative
GCF of 9860 and 9861 = GCF of 9861 and 9860
1. What is the GCF of 9860 and 9861?
Answer: GCF of 9860 and 9861 is 1.
2. What are the Factors of 9860?
Answer: Factors of 9860 are 1, 2, 4, 5, 10, 17, 20, 29, 34, 58, 68, 85, 116, 145, 170, 290, 340, 493, 580, 986, 1972, 2465, 4930, 9860. There are 24 integers that are factors of 9860. The greatest factor of 9860 is 9860.
3. 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.
4. How to Find the GCF of 9860 and 9861?
Answer:
Greatest Common Factor of 9860 and 9861 = 1
Step 1: Find the prime factorization of 9860
9860 = 2 x 2 x 5 x 17 x 29
Step 2: Find the prime factorization of 9861
9861 = 3 x 19 x 173
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 9860 and 9861 is 1