Greatest Common Factor of 9824 and 9828

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 9824, 9828 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9824 and 9828 is 4.

GCF(9824,9828) = 4

GCF of 9824 and 9828

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

GCF of:
and

Greatest Common Factor of 9824 and 9828

GCF of 9824 and 9828 is 4

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

Prime Factorization of 9828


2 9828
2 4914
3 2457
3 819
3 273
7 91
13 13
1

Prime factors of 9828 are 2,3,7,13. Prime factorization of 9828 in exponential form is:

9828 = 22×33×71×131

∴ So by taking common prime factors GCF of 9824 and 9828 is 4

Greatest Common Factor of 9824 and 9828 by matching factors method

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

Factors of 9828

List of positive integer factors of 9828 that divides 9828 without a remainder.

1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828

Greatest Common Factor

We found the factors and prime factorization of 9824 and 9828. The biggest common factor number is the GCF number.
So the greatest common factor 9824 and 9828 is 4.

Also check out the Least Common Multiple of 9824 and 9828

Properties of GCF 9824 and 9828

(i) The GCF of 9824 and 9828 is associative

GCF of 9824 and 9828 = GCF of 9828 and 9824

Related Greatest Common Factor of 9824

Related Greatest Common Factor of 9828

Frequently Asked Questions on GCF of 9824 and 9828

1. What is the GCF of 9824 and 9828?

Answer: GCF of 9824 and 9828 is 4.

2. 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.

3. What are the Factors of 9828?

Answer: Factors of 9828 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828. There are 48 integers that are factors of 9828. The greatest factor of 9828 is 9828.

4. How to Find the GCF of 9824 and 9828?

Answer:

Greatest Common Factor of 9824 and 9828 = 4

Step 1: Find the prime factorization of 9824

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

Step 2: Find the prime factorization of 9828

9828 = 2 x 2 x 3 x 3 x 3 x 7 x 13

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9824 and 9828 is 4