Greatest Common Factor of 8817 and 8823

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 8817, 8823 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8817 and 8823 is 3.

GCF(8817,8823) = 3

GCF of 8817 and 8823

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

GCF of:
and

Greatest Common Factor of 8817 and 8823

GCF of 8817 and 8823 is 3

Prime Factorization of 8817


3 8817
2939 2939
1

Prime factors of 8817 are 3,2939. Prime factorization of 8817 in exponential form is:

8817 = 31×29391

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

∴ So by taking common prime factors GCF of 8817 and 8823 is 3

Greatest Common Factor of 8817 and 8823 by matching factors method

Factors of 8817

List of positive integer factors of 8817 that divides 8817 without a remainder.

1,3,2939,8817

Factors of 8823

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

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

Greatest Common Factor

We found the factors and prime factorization of 8817 and 8823. The biggest common factor number is the GCF number.
So the greatest common factor 8817 and 8823 is 3.

Also check out the Least Common Multiple of 8817 and 8823

Properties of GCF 8817 and 8823

(i) The GCF of 8817 and 8823 is associative

GCF of 8817 and 8823 = GCF of 8823 and 8817

Related Greatest Common Factor of 8817

Related Greatest Common Factor of 8823

Frequently Asked Questions on GCF of 8817 and 8823

1. What is the GCF of 8817 and 8823?

Answer: GCF of 8817 and 8823 is 3.

2. What are the Factors of 8817?

Answer: Factors of 8817 are 1, 3, 2939, 8817. There are 4 integers that are factors of 8817. The greatest factor of 8817 is 8817.

3. 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.

4. How to Find the GCF of 8817 and 8823?

Answer:

Greatest Common Factor of 8817 and 8823 = 3

Step 1: Find the prime factorization of 8817

8817 = 3 x 2939

Step 2: Find the prime factorization of 8823

8823 = 3 x 17 x 173

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 8817 and 8823 is 3