Greatest Common Factor of 8823 and 8829

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 8823, 8829 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8823 and 8829 is 3.

GCF(8823,8829) = 3

GCF of 8823 and 8829

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

GCF of:
and

Greatest Common Factor of 8823 and 8829

GCF of 8823 and 8829 is 3

Prime Factorization of 8823


3 8823
17 2941
173 173
1

Prime factors of 8823 are 3,17,173. Prime factorization of 8823 in exponential form is:

8823 = 31×171×1731

Prime Factorization of 8829


3 8829
3 2943
3 981
3 327
109 109
1

Prime factors of 8829 are 3,109. Prime factorization of 8829 in exponential form is:

8829 = 34×1091

∴ So by taking common prime factors GCF of 8823 and 8829 is 3

Greatest Common Factor of 8823 and 8829 by matching factors method

Factors of 8823

List of positive integer factors of 8823 that divides 8823 without a remainder.

1,3,17,51,173,519,2941,8823

Factors of 8829

List of positive integer factors of 8829 that divides 8829 without a remainder.

1,3,9,27,81,109,327,981,2943,8829

Greatest Common Factor

We found the factors and prime factorization of 8823 and 8829. The biggest common factor number is the GCF number.
So the greatest common factor 8823 and 8829 is 3.

Also check out the Least Common Multiple of 8823 and 8829

Properties of GCF 8823 and 8829

(i) The GCF of 8823 and 8829 is associative

GCF of 8823 and 8829 = GCF of 8829 and 8823

Related Greatest Common Factor of 8823

Related Greatest Common Factor of 8829

Frequently Asked Questions on GCF of 8823 and 8829

1. What is the GCF of 8823 and 8829?

Answer: GCF of 8823 and 8829 is 3.

2. What are the Factors of 8823?

Answer: Factors of 8823 are 1, 3, 17, 51, 173, 519, 2941, 8823. There are 8 integers that are factors of 8823. The greatest factor of 8823 is 8823.

3. What are the Factors of 8829?

Answer: Factors of 8829 are 1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829. There are 10 integers that are factors of 8829. The greatest factor of 8829 is 8829.

4. How to Find the GCF of 8823 and 8829?

Answer:

Greatest Common Factor of 8823 and 8829 = 3

Step 1: Find the prime factorization of 8823

8823 = 3 x 17 x 173

Step 2: Find the prime factorization of 8829

8829 = 3 x 3 x 3 x 3 x 109

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8823 and 8829 is 3