Greatest Common Factor of 9821 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 9821, 9828 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9821 and 9828 is 7.

GCF(9821,9828) = 7

GCF of 9821 and 9828

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

GCF of:
and

Greatest Common Factor of 9821 and 9828

GCF of 9821 and 9828 is 7

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 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 9821 and 9828 is 7

Greatest Common Factor of 9821 and 9828 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 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 9821 and 9828. The biggest common factor number is the GCF number.
So the greatest common factor 9821 and 9828 is 7.

Also check out the Least Common Multiple of 9821 and 9828

Properties of GCF 9821 and 9828

(i) The GCF of 9821 and 9828 is associative

GCF of 9821 and 9828 = GCF of 9828 and 9821

Related Greatest Common Factor of 9821

Related Greatest Common Factor of 9828

Frequently Asked Questions on GCF of 9821 and 9828

1. What is the GCF of 9821 and 9828?

Answer: GCF of 9821 and 9828 is 7.

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 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 9821 and 9828?

Answer:

Greatest Common Factor of 9821 and 9828 = 7

Step 1: Find the prime factorization of 9821

9821 = 7 x 23 x 61

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 = 7

Step 4: Therefore, the greatest common factor of 9821 and 9828 is 7