Greatest Common Factor of 5822 and 5825

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 5822, 5825 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5822 and 5825 is 1.

GCF(5822,5825) = 1

GCF of 5822 and 5825

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

GCF of:
and

Greatest Common Factor of 5822 and 5825

GCF of 5822 and 5825 is 1

Prime Factorization of 5822


2 5822
41 2911
71 71
1

Prime factors of 5822 are 2,41,71. Prime factorization of 5822 in exponential form is:

5822 = 21×411×711

Prime Factorization of 5825


5 5825
5 1165
233 233
1

Prime factors of 5825 are 5,233. Prime factorization of 5825 in exponential form is:

5825 = 52×2331

∴ So by taking common prime factors GCF of 5822 and 5825 is 1

Greatest Common Factor of 5822 and 5825 by matching factors method

Factors of 5822

List of positive integer factors of 5822 that divides 5822 without a remainder.

1,2,41,71,82,142,2911,5822

Factors of 5825

List of positive integer factors of 5825 that divides 5825 without a remainder.

1,5,25,233,1165,5825

Greatest Common Factor

We found the factors and prime factorization of 5822 and 5825. The biggest common factor number is the GCF number.
So the greatest common factor 5822 and 5825 is 1.

Also check out the Least Common Multiple of 5822 and 5825

Properties of GCF 5822 and 5825

(i) The GCF of 5822 and 5825 is associative

GCF of 5822 and 5825 = GCF of 5825 and 5822

Related Greatest Common Factor of 5822

Related Greatest Common Factor of 5825

Frequently Asked Questions on GCF of 5822 and 5825

1. What is the GCF of 5822 and 5825?

Answer: GCF of 5822 and 5825 is 1.

2. What are the Factors of 5822?

Answer: Factors of 5822 are 1, 2, 41, 71, 82, 142, 2911, 5822. There are 8 integers that are factors of 5822. The greatest factor of 5822 is 5822.

3. What are the Factors of 5825?

Answer: Factors of 5825 are 1, 5, 25, 233, 1165, 5825. There are 6 integers that are factors of 5825. The greatest factor of 5825 is 5825.

4. How to Find the GCF of 5822 and 5825?

Answer:

Greatest Common Factor of 5822 and 5825 = 1

Step 1: Find the prime factorization of 5822

5822 = 2 x 41 x 71

Step 2: Find the prime factorization of 5825

5825 = 5 x 5 x 233

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 5822 and 5825 is 1