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 9855, 9862 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9855 and 9862 is 1.
GCF(9855,9862) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9855
3 | 9855 |
3 | 3285 |
3 | 1095 |
5 | 365 |
73 | 73 |
1 |
Prime factors of 9855 are 3,5,73. Prime factorization of 9855 in exponential form is:
9855 = 33×51×731
Prime Factorization of 9862
2 | 9862 |
4931 | 4931 |
1 |
Prime factors of 9862 are 2,4931. Prime factorization of 9862 in exponential form is:
9862 = 21×49311
∴ So by taking common prime factors GCF of 9855 and 9862 is 1
Factors of 9855
List of positive integer factors of 9855 that divides 9855 without a remainder.
1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Factors of 9862
List of positive integer factors of 9862 that divides 9862 without a remainder.
1,2,4931,9862
Greatest Common Factor
We found the factors and prime factorization of 9855 and 9862. The biggest common factor number is the GCF number.
So the greatest common factor 9855 and 9862 is 1.
Also check out the Least Common Multiple of 9855 and 9862
(i) The GCF of 9855 and 9862 is associative
GCF of 9855 and 9862 = GCF of 9862 and 9855
1. What is the GCF of 9855 and 9862?
Answer: GCF of 9855 and 9862 is 1.
2. What are the Factors of 9855?
Answer: Factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855. There are 16 integers that are factors of 9855. The greatest factor of 9855 is 9855.
3. What are the Factors of 9862?
Answer: Factors of 9862 are 1, 2, 4931, 9862. There are 4 integers that are factors of 9862. The greatest factor of 9862 is 9862.
4. How to Find the GCF of 9855 and 9862?
Answer:
Greatest Common Factor of 9855 and 9862 = 1
Step 1: Find the prime factorization of 9855
9855 = 3 x 3 x 3 x 5 x 73
Step 2: Find the prime factorization of 9862
9862 = 2 x 4931
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 9855 and 9862 is 1