Greatest Common Factor of 5813 and 5817

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 5813, 5817 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5813 and 5817 is 1.

GCF(5813,5817) = 1

GCF of 5813 and 5817

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

GCF of:
and

Greatest Common Factor of 5813 and 5817

GCF of 5813 and 5817 is 1

Prime Factorization of 5813


5813 5813
1

Prime factors of 5813 are 5813. Prime factorization of 5813 in exponential form is:

5813 = 58131

Prime Factorization of 5817


3 5817
7 1939
277 277
1

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

5817 = 31×71×2771

∴ So by taking common prime factors GCF of 5813 and 5817 is 1

Greatest Common Factor of 5813 and 5817 by matching factors method

Factors of 5813

List of positive integer factors of 5813 that divides 5813 without a remainder.

1,5813

Factors of 5817

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

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

Greatest Common Factor

We found the factors and prime factorization of 5813 and 5817. The biggest common factor number is the GCF number.
So the greatest common factor 5813 and 5817 is 1.

Also check out the Least Common Multiple of 5813 and 5817

Properties of GCF 5813 and 5817

(i) The GCF of 5813 and 5817 is associative

GCF of 5813 and 5817 = GCF of 5817 and 5813

Frequently Asked Questions on GCF of 5813 and 5817

1. What is the GCF of 5813 and 5817?

Answer: GCF of 5813 and 5817 is 1.

2. What are the Factors of 5813?

Answer: Factors of 5813 are 1, 5813. There are 2 integers that are factors of 5813. The greatest factor of 5813 is 5813.

3. 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.

4. How to Find the GCF of 5813 and 5817?

Answer:

Greatest Common Factor of 5813 and 5817 = 1

Step 1: Find the prime factorization of 5813

5813 = 5813

Step 2: Find the prime factorization of 5817

5817 = 3 x 7 x 277

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5813 and 5817 is 1