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 9815, 9822 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9815 and 9822 is 1.
GCF(9815,9822) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9815
5 | 9815 |
13 | 1963 |
151 | 151 |
1 |
Prime factors of 9815 are 5,13,151. Prime factorization of 9815 in exponential form is:
9815 = 51×131×1511
Prime Factorization of 9822
2 | 9822 |
3 | 4911 |
1637 | 1637 |
1 |
Prime factors of 9822 are 2,3,1637. Prime factorization of 9822 in exponential form is:
9822 = 21×31×16371
∴ So by taking common prime factors GCF of 9815 and 9822 is 1
Factors of 9815
List of positive integer factors of 9815 that divides 9815 without a remainder.
1,5,13,65,151,755,1963,9815
Factors of 9822
List of positive integer factors of 9822 that divides 9822 without a remainder.
1,2,3,6,1637,3274,4911,9822
Greatest Common Factor
We found the factors and prime factorization of 9815 and 9822. The biggest common factor number is the GCF number.
So the greatest common factor 9815 and 9822 is 1.
Also check out the Least Common Multiple of 9815 and 9822
(i) The GCF of 9815 and 9822 is associative
GCF of 9815 and 9822 = GCF of 9822 and 9815
1. What is the GCF of 9815 and 9822?
Answer: GCF of 9815 and 9822 is 1.
2. What are the Factors of 9815?
Answer: Factors of 9815 are 1, 5, 13, 65, 151, 755, 1963, 9815. There are 8 integers that are factors of 9815. The greatest factor of 9815 is 9815.
3. What are the Factors of 9822?
Answer: Factors of 9822 are 1, 2, 3, 6, 1637, 3274, 4911, 9822. There are 8 integers that are factors of 9822. The greatest factor of 9822 is 9822.
4. How to Find the GCF of 9815 and 9822?
Answer:
Greatest Common Factor of 9815 and 9822 = 1
Step 1: Find the prime factorization of 9815
9815 = 5 x 13 x 151
Step 2: Find the prime factorization of 9822
9822 = 2 x 3 x 1637
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 9815 and 9822 is 1