Greatest Common Factor of 9821 and 9824

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, 9824 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9821 and 9824 is 1.

GCF(9821,9824) = 1

GCF of 9821 and 9824

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

GCF of:
and

Greatest Common Factor of 9821 and 9824

GCF of 9821 and 9824 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 9824


2 9824
2 4912
2 2456
2 1228
2 614
307 307
1

Prime factors of 9824 are 2,307. Prime factorization of 9824 in exponential form is:

9824 = 25×3071

∴ So by taking common prime factors GCF of 9821 and 9824 is 1

Greatest Common Factor of 9821 and 9824 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 9824

List of positive integer factors of 9824 that divides 9824 without a remainder.

1,2,4,8,16,32,307,614,1228,2456,4912,9824

Greatest Common Factor

We found the factors and prime factorization of 9821 and 9824. The biggest common factor number is the GCF number.
So the greatest common factor 9821 and 9824 is 1.

Also check out the Least Common Multiple of 9821 and 9824

Properties of GCF 9821 and 9824

(i) The GCF of 9821 and 9824 is associative

GCF of 9821 and 9824 = GCF of 9824 and 9821

Related Greatest Common Factor of 9821

Related Greatest Common Factor of 9824

Frequently Asked Questions on GCF of 9821 and 9824

1. What is the GCF of 9821 and 9824?

Answer: GCF of 9821 and 9824 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 9824?

Answer: Factors of 9824 are 1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824. There are 12 integers that are factors of 9824. The greatest factor of 9824 is 9824.

4. How to Find the GCF of 9821 and 9824?

Answer:

Greatest Common Factor of 9821 and 9824 = 1

Step 1: Find the prime factorization of 9821

9821 = 7 x 23 x 61

Step 2: Find the prime factorization of 9824

9824 = 2 x 2 x 2 x 2 x 2 x 307

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 9824 is 1