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 9807, 9815 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9807 and 9815 is 1.
GCF(9807,9815) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9807
3 | 9807 |
7 | 3269 |
467 | 467 |
1 |
Prime factors of 9807 are 3,7,467. Prime factorization of 9807 in exponential form is:
9807 = 31×71×4671
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
∴ So by taking common prime factors GCF of 9807 and 9815 is 1
Factors of 9807
List of positive integer factors of 9807 that divides 9807 without a remainder.
1,3,7,21,467,1401,3269,9807
Factors of 9815
List of positive integer factors of 9815 that divides 9815 without a remainder.
1,5,13,65,151,755,1963,9815
Greatest Common Factor
We found the factors and prime factorization of 9807 and 9815. The biggest common factor number is the GCF number.
So the greatest common factor 9807 and 9815 is 1.
Also check out the Least Common Multiple of 9807 and 9815
(i) The GCF of 9807 and 9815 is associative
GCF of 9807 and 9815 = GCF of 9815 and 9807
1. What is the GCF of 9807 and 9815?
Answer: GCF of 9807 and 9815 is 1.
2. What are the Factors of 9807?
Answer: Factors of 9807 are 1, 3, 7, 21, 467, 1401, 3269, 9807. There are 8 integers that are factors of 9807. The greatest factor of 9807 is 9807.
3. 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.
4. How to Find the GCF of 9807 and 9815?
Answer:
Greatest Common Factor of 9807 and 9815 = 1
Step 1: Find the prime factorization of 9807
9807 = 3 x 7 x 467
Step 2: Find the prime factorization of 9815
9815 = 5 x 13 x 151
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 9807 and 9815 is 1