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 9825, 9832 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9825 and 9832 is 1.
GCF(9825,9832) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9832
2 | 9832 |
2 | 4916 |
2 | 2458 |
1229 | 1229 |
1 |
Prime factors of 9832 are 2,1229. Prime factorization of 9832 in exponential form is:
9832 = 23×12291
∴ So by taking common prime factors GCF of 9825 and 9832 is 1
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
Factors of 9832
List of positive integer factors of 9832 that divides 9832 without a remainder.
1,2,4,8,1229,2458,4916,9832
Greatest Common Factor
We found the factors and prime factorization of 9825 and 9832. The biggest common factor number is the GCF number.
So the greatest common factor 9825 and 9832 is 1.
Also check out the Least Common Multiple of 9825 and 9832
(i) The GCF of 9825 and 9832 is associative
GCF of 9825 and 9832 = GCF of 9832 and 9825
1. What is the GCF of 9825 and 9832?
Answer: GCF of 9825 and 9832 is 1.
2. 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.
3. What are the Factors of 9832?
Answer: Factors of 9832 are 1, 2, 4, 8, 1229, 2458, 4916, 9832. There are 8 integers that are factors of 9832. The greatest factor of 9832 is 9832.
4. How to Find the GCF of 9825 and 9832?
Answer:
Greatest Common Factor of 9825 and 9832 = 1
Step 1: Find the prime factorization of 9825
9825 = 3 x 5 x 5 x 131
Step 2: Find the prime factorization of 9832
9832 = 2 x 2 x 2 x 1229
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 9825 and 9832 is 1