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 9853, 9860 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9853 and 9860 is 1.
GCF(9853,9860) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
∴ So by taking common prime factors GCF of 9853 and 9860 is 1
Factors of 9853
List of positive integer factors of 9853 that divides 9853 without a remainder.
1,59,167,9853
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
Greatest Common Factor
We found the factors and prime factorization of 9853 and 9860. The biggest common factor number is the GCF number.
So the greatest common factor 9853 and 9860 is 1.
Also check out the Least Common Multiple of 9853 and 9860
(i) The GCF of 9853 and 9860 is associative
GCF of 9853 and 9860 = GCF of 9860 and 9853
1. What is the GCF of 9853 and 9860?
Answer: GCF of 9853 and 9860 is 1.
2. 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.
3. 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.
4. How to Find the GCF of 9853 and 9860?
Answer:
Greatest Common Factor of 9853 and 9860 = 1
Step 1: Find the prime factorization of 9853
9853 = 59 x 167
Step 2: Find the prime factorization of 9860
9860 = 2 x 2 x 5 x 17 x 29
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 9853 and 9860 is 1