Greatest Common Factor of 5817 and 5823

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 5817, 5823 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5817 and 5823 is 3.

GCF(5817,5823) = 3

GCF of 5817 and 5823

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

GCF of:
and

Greatest Common Factor of 5817 and 5823

GCF of 5817 and 5823 is 3

Prime Factorization of 5817


3 5817
7 1939
277 277
1

Prime factors of 5817 are 3,7,277. Prime factorization of 5817 in exponential form is:

5817 = 31×71×2771

Prime Factorization of 5823


3 5823
3 1941
647 647
1

Prime factors of 5823 are 3,647. Prime factorization of 5823 in exponential form is:

5823 = 32×6471

∴ So by taking common prime factors GCF of 5817 and 5823 is 3

Greatest Common Factor of 5817 and 5823 by matching factors method

Factors of 5817

List of positive integer factors of 5817 that divides 5817 without a remainder.

1,3,7,21,277,831,1939,5817

Factors of 5823

List of positive integer factors of 5823 that divides 5823 without a remainder.

1,3,9,647,1941,5823

Greatest Common Factor

We found the factors and prime factorization of 5817 and 5823. The biggest common factor number is the GCF number.
So the greatest common factor 5817 and 5823 is 3.

Also check out the Least Common Multiple of 5817 and 5823

Properties of GCF 5817 and 5823

(i) The GCF of 5817 and 5823 is associative

GCF of 5817 and 5823 = GCF of 5823 and 5817

Related Greatest Common Factor of 5817

Related Greatest Common Factor of 5823

Frequently Asked Questions on GCF of 5817 and 5823

1. What is the GCF of 5817 and 5823?

Answer: GCF of 5817 and 5823 is 3.

2. What are the Factors of 5817?

Answer: Factors of 5817 are 1, 3, 7, 21, 277, 831, 1939, 5817. There are 8 integers that are factors of 5817. The greatest factor of 5817 is 5817.

3. What are the Factors of 5823?

Answer: Factors of 5823 are 1, 3, 9, 647, 1941, 5823. There are 6 integers that are factors of 5823. The greatest factor of 5823 is 5823.

4. How to Find the GCF of 5817 and 5823?

Answer:

Greatest Common Factor of 5817 and 5823 = 3

Step 1: Find the prime factorization of 5817

5817 = 3 x 7 x 277

Step 2: Find the prime factorization of 5823

5823 = 3 x 3 x 647

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 5817 and 5823 is 3