Greatest Common Factor of 9825 and 9830

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, 9830 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9825 and 9830 is 5.

GCF(9825,9830) = 5

GCF of 9825 and 9830

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9825 and 9830

GCF of 9825 and 9830 is 5

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 9830


2 9830
5 4915
983 983
1

Prime factors of 9830 are 2,5,983. Prime factorization of 9830 in exponential form is:

9830 = 21×51×9831

∴ So by taking common prime factors GCF of 9825 and 9830 is 5

Greatest Common Factor of 9825 and 9830 by matching factors method

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 9830

List of positive integer factors of 9830 that divides 9830 without a remainder.

1,2,5,10,983,1966,4915,9830

Greatest Common Factor

We found the factors and prime factorization of 9825 and 9830. The biggest common factor number is the GCF number.
So the greatest common factor 9825 and 9830 is 5.

Also check out the Least Common Multiple of 9825 and 9830

Properties of GCF 9825 and 9830

(i) The GCF of 9825 and 9830 is associative

GCF of 9825 and 9830 = GCF of 9830 and 9825

Related Greatest Common Factor of 9825

Related Greatest Common Factor of 9830

Frequently Asked Questions on GCF of 9825 and 9830

1. What is the GCF of 9825 and 9830?

Answer: GCF of 9825 and 9830 is 5.

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 9830?

Answer: Factors of 9830 are 1, 2, 5, 10, 983, 1966, 4915, 9830. There are 8 integers that are factors of 9830. The greatest factor of 9830 is 9830.

4. How to Find the GCF of 9825 and 9830?

Answer:

Greatest Common Factor of 9825 and 9830 = 5

Step 1: Find the prime factorization of 9825

9825 = 3 x 5 x 5 x 131

Step 2: Find the prime factorization of 9830

9830 = 2 x 5 x 983

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 9825 and 9830 is 5