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, 9823 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9815 and 9823 is 1.
GCF(9815,9823) = 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 9823
11 | 9823 |
19 | 893 |
47 | 47 |
1 |
Prime factors of 9823 are 11,19,47. Prime factorization of 9823 in exponential form is:
9823 = 111×191×471
∴ So by taking common prime factors GCF of 9815 and 9823 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 9823
List of positive integer factors of 9823 that divides 9823 without a remainder.
1,11,19,47,209,517,893,9823
Greatest Common Factor
We found the factors and prime factorization of 9815 and 9823. The biggest common factor number is the GCF number.
So the greatest common factor 9815 and 9823 is 1.
Also check out the Least Common Multiple of 9815 and 9823
(i) The GCF of 9815 and 9823 is associative
GCF of 9815 and 9823 = GCF of 9823 and 9815
1. What is the GCF of 9815 and 9823?
Answer: GCF of 9815 and 9823 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 9823?
Answer: Factors of 9823 are 1, 11, 19, 47, 209, 517, 893, 9823. There are 8 integers that are factors of 9823. The greatest factor of 9823 is 9823.
4. How to Find the GCF of 9815 and 9823?
Answer:
Greatest Common Factor of 9815 and 9823 = 1
Step 1: Find the prime factorization of 9815
9815 = 5 x 13 x 151
Step 2: Find the prime factorization of 9823
9823 = 11 x 19 x 47
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 9823 is 1