Greatest Common Factor of 9821 and 9825

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 9821, 9825 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9821 and 9825 is 1.

GCF(9821,9825) = 1

GCF of 9821 and 9825

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

GCF of:
and

Greatest Common Factor of 9821 and 9825

GCF of 9821 and 9825 is 1

Prime Factorization of 9821


7 9821
23 1403
61 61
1

Prime factors of 9821 are 7,23,61. Prime factorization of 9821 in exponential form is:

9821 = 71×231×611

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 9821 and 9825 is 1

Greatest Common Factor of 9821 and 9825 by matching factors method

Factors of 9821

List of positive integer factors of 9821 that divides 9821 without a remainder.

1,7,23,61,161,427,1403,9821

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 9821 and 9825. The biggest common factor number is the GCF number.
So the greatest common factor 9821 and 9825 is 1.

Also check out the Least Common Multiple of 9821 and 9825

Properties of GCF 9821 and 9825

(i) The GCF of 9821 and 9825 is associative

GCF of 9821 and 9825 = GCF of 9825 and 9821

Related Greatest Common Factor of 9821

Related Greatest Common Factor of 9825

Frequently Asked Questions on GCF of 9821 and 9825

1. What is the GCF of 9821 and 9825?

Answer: GCF of 9821 and 9825 is 1.

2. What are the Factors of 9821?

Answer: Factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821. There are 8 integers that are factors of 9821. The greatest factor of 9821 is 9821.

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 9821 and 9825?

Answer:

Greatest Common Factor of 9821 and 9825 = 1

Step 1: Find the prime factorization of 9821

9821 = 7 x 23 x 61

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 = = 1

Step 4: Therefore, the greatest common factor of 9821 and 9825 is 1