Greatest Common Factor of 5800 and 5807

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 5800, 5807 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5800 and 5807 is 1.

GCF(5800,5807) = 1

GCF of 5800 and 5807

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

GCF of:
and

Greatest Common Factor of 5800 and 5807

GCF of 5800 and 5807 is 1

Prime Factorization of 5800


2 5800
2 2900
2 1450
5 725
5 145
29 29
1

Prime factors of 5800 are 2,5,29. Prime factorization of 5800 in exponential form is:

5800 = 23×52×291

Prime Factorization of 5807


5807 5807
1

Prime factors of 5807 are 5807. Prime factorization of 5807 in exponential form is:

5807 = 58071

∴ So by taking common prime factors GCF of 5800 and 5807 is 1

Greatest Common Factor of 5800 and 5807 by matching factors method

Factors of 5800

List of positive integer factors of 5800 that divides 5800 without a remainder.

1,2,4,5,8,10,20,25,29,40,50,58,100,116,145,200,232,290,580,725,1160,1450,2900,5800

Factors of 5807

List of positive integer factors of 5807 that divides 5807 without a remainder.

1,5807

Greatest Common Factor

We found the factors and prime factorization of 5800 and 5807. The biggest common factor number is the GCF number.
So the greatest common factor 5800 and 5807 is 1.

Also check out the Least Common Multiple of 5800 and 5807

Properties of GCF 5800 and 5807

(i) The GCF of 5800 and 5807 is associative

GCF of 5800 and 5807 = GCF of 5807 and 5800

Related Greatest Common Factor of 5800

Related Greatest Common Factor of 5807

Frequently Asked Questions on GCF of 5800 and 5807

1. What is the GCF of 5800 and 5807?

Answer: GCF of 5800 and 5807 is 1.

2. What are the Factors of 5800?

Answer: Factors of 5800 are 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800. There are 24 integers that are factors of 5800. The greatest factor of 5800 is 5800.

3. What are the Factors of 5807?

Answer: Factors of 5807 are 1, 5807. There are 2 integers that are factors of 5807. The greatest factor of 5807 is 5807.

4. How to Find the GCF of 5800 and 5807?

Answer:

Greatest Common Factor of 5800 and 5807 = 1

Step 1: Find the prime factorization of 5800

5800 = 2 x 2 x 2 x 5 x 5 x 29

Step 2: Find the prime factorization of 5807

5807 = 5807

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 5800 and 5807 is 1