Greatest Common Factor of 9821 and 9823

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, 9823 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9821 and 9823 is 1.

GCF(9821,9823) = 1

GCF of 9821 and 9823

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

GCF of:
and

Greatest Common Factor of 9821 and 9823

GCF of 9821 and 9823 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 9823


11 9823
19 893
47 47
1

Prime factors of 9823 are 11,19,47. Prime factorization of 9823 in exponential form is:

9823 = 111×191×471

∴ So by taking common prime factors GCF of 9821 and 9823 is 1

Greatest Common Factor of 9821 and 9823 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 9823

List of positive integer factors of 9823 that divides 9823 without a remainder.

1,11,19,47,209,517,893,9823

Greatest Common Factor

We found the factors and prime factorization of 9821 and 9823. The biggest common factor number is the GCF number.
So the greatest common factor 9821 and 9823 is 1.

Also check out the Least Common Multiple of 9821 and 9823

Properties of GCF 9821 and 9823

(i) The GCF of 9821 and 9823 is associative

GCF of 9821 and 9823 = GCF of 9823 and 9821

Related Greatest Common Factor of 9821

Related Greatest Common Factor of 9823

Frequently Asked Questions on GCF of 9821 and 9823

1. What is the GCF of 9821 and 9823?

Answer: GCF of 9821 and 9823 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 9823?

Answer: Factors of 9823 are 1, 11, 19, 47, 209, 517, 893, 9823. There are 8 integers that are factors of 9823. The greatest factor of 9823 is 9823.

4. How to Find the GCF of 9821 and 9823?

Answer:

Greatest Common Factor of 9821 and 9823 = 1

Step 1: Find the prime factorization of 9821

9821 = 7 x 23 x 61

Step 2: Find the prime factorization of 9823

9823 = 11 x 19 x 47

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 9823 is 1