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 9819, 9825 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9819 and 9825 is 3.
GCF(9819,9825) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9819
3 | 9819 |
3 | 3273 |
1091 | 1091 |
1 |
Prime factors of 9819 are 3,1091. Prime factorization of 9819 in exponential form is:
9819 = 32×10911
Prime Factorization of 9825
3 | 9825 |
5 | 3275 |
5 | 655 |
131 | 131 |
1 |
Prime factors of 9825 are 3,5,131. Prime factorization of 9825 in exponential form is:
9825 = 31×52×1311
∴ So by taking common prime factors GCF of 9819 and 9825 is 3
Factors of 9819
List of positive integer factors of 9819 that divides 9819 without a remainder.
1,3,9,1091,3273,9819
Factors of 9825
List of positive integer factors of 9825 that divides 9825 without a remainder.
1,3,5,15,25,75,131,393,655,1965,3275,9825
Greatest Common Factor
We found the factors and prime factorization of 9819 and 9825. The biggest common factor number is the GCF number.
So the greatest common factor 9819 and 9825 is 3.
Also check out the Least Common Multiple of 9819 and 9825
(i) The GCF of 9819 and 9825 is associative
GCF of 9819 and 9825 = GCF of 9825 and 9819
1. What is the GCF of 9819 and 9825?
Answer: GCF of 9819 and 9825 is 3.
2. What are the Factors of 9819?
Answer: Factors of 9819 are 1, 3, 9, 1091, 3273, 9819. There are 6 integers that are factors of 9819. The greatest factor of 9819 is 9819.
3. What are the Factors of 9825?
Answer: Factors of 9825 are 1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825. There are 12 integers that are factors of 9825. The greatest factor of 9825 is 9825.
4. How to Find the GCF of 9819 and 9825?
Answer:
Greatest Common Factor of 9819 and 9825 = 3
Step 1: Find the prime factorization of 9819
9819 = 3 x 3 x 1091
Step 2: Find the prime factorization of 9825
9825 = 3 x 5 x 5 x 131
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 9819 and 9825 is 3