Greatest Common Factor of 9816 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 9816, 9824 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9816 and 9824 is 8.

GCF(9816,9824) = 8

GCF of 9816 and 9824

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

GCF of:
and

Greatest Common Factor of 9816 and 9824

GCF of 9816 and 9824 is 8

Prime Factorization of 9816


2 9816
2 4908
2 2454
3 1227
409 409
1

Prime factors of 9816 are 2,3,409. Prime factorization of 9816 in exponential form is:

9816 = 23×31×4091

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 9816 and 9824 is 8

Greatest Common Factor of 9816 and 9824 by matching factors method

Factors of 9816

List of positive integer factors of 9816 that divides 9816 without a remainder.

1,2,3,4,6,8,12,24,409,818,1227,1636,2454,3272,4908,9816

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 9816 and 9824. The biggest common factor number is the GCF number.
So the greatest common factor 9816 and 9824 is 8.

Also check out the Least Common Multiple of 9816 and 9824

Properties of GCF 9816 and 9824

(i) The GCF of 9816 and 9824 is associative

GCF of 9816 and 9824 = GCF of 9824 and 9816

Related Greatest Common Factor of 9816

Related Greatest Common Factor of 9824

Frequently Asked Questions on GCF of 9816 and 9824

1. What is the GCF of 9816 and 9824?

Answer: GCF of 9816 and 9824 is 8.

2. What are the Factors of 9816?

Answer: Factors of 9816 are 1, 2, 3, 4, 6, 8, 12, 24, 409, 818, 1227, 1636, 2454, 3272, 4908, 9816. There are 16 integers that are factors of 9816. The greatest factor of 9816 is 9816.

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 9816 and 9824?

Answer:

Greatest Common Factor of 9816 and 9824 = 8

Step 1: Find the prime factorization of 9816

9816 = 2 x 2 x 2 x 3 x 409

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 = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9816 and 9824 is 8