Greatest Common Factor of 9825 and 9829

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, 9829 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9825 and 9829 is 1.

GCF(9825,9829) = 1

GCF of 9825 and 9829

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

GCF of:
and

Greatest Common Factor of 9825 and 9829

GCF of 9825 and 9829 is 1

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 9829


9829 9829
1

Prime factors of 9829 are 9829. Prime factorization of 9829 in exponential form is:

9829 = 98291

∴ So by taking common prime factors GCF of 9825 and 9829 is 1

Greatest Common Factor of 9825 and 9829 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 9829

List of positive integer factors of 9829 that divides 9829 without a remainder.

1,9829

Greatest Common Factor

We found the factors and prime factorization of 9825 and 9829. The biggest common factor number is the GCF number.
So the greatest common factor 9825 and 9829 is 1.

Also check out the Least Common Multiple of 9825 and 9829

Properties of GCF 9825 and 9829

(i) The GCF of 9825 and 9829 is associative

GCF of 9825 and 9829 = GCF of 9829 and 9825

Related Greatest Common Factor of 9825

Related Greatest Common Factor of 9829

Frequently Asked Questions on GCF of 9825 and 9829

1. What is the GCF of 9825 and 9829?

Answer: GCF of 9825 and 9829 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 9829?

Answer: Factors of 9829 are 1, 9829. There are 2 integers that are factors of 9829. The greatest factor of 9829 is 9829.

4. How to Find the GCF of 9825 and 9829?

Answer:

Greatest Common Factor of 9825 and 9829 = 1

Step 1: Find the prime factorization of 9825

9825 = 3 x 5 x 5 x 131

Step 2: Find the prime factorization of 9829

9829 = 9829

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 9829 is 1