Greatest Common Factor of 5825 and 5827

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 5825, 5827 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5825 and 5827 is 1.

GCF(5825,5827) = 1

GCF of 5825 and 5827

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

GCF of:
and

Greatest Common Factor of 5825 and 5827

GCF of 5825 and 5827 is 1

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

Prime Factorization of 5827


5827 5827
1

Prime factors of 5827 are 5827. Prime factorization of 5827 in exponential form is:

5827 = 58271

∴ So by taking common prime factors GCF of 5825 and 5827 is 1

Greatest Common Factor of 5825 and 5827 by matching factors method

Factors of 5825

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

1,5,25,233,1165,5825

Factors of 5827

List of positive integer factors of 5827 that divides 5827 without a remainder.

1,5827

Greatest Common Factor

We found the factors and prime factorization of 5825 and 5827. The biggest common factor number is the GCF number.
So the greatest common factor 5825 and 5827 is 1.

Also check out the Least Common Multiple of 5825 and 5827

Properties of GCF 5825 and 5827

(i) The GCF of 5825 and 5827 is associative

GCF of 5825 and 5827 = GCF of 5827 and 5825

Related Greatest Common Factor of 5825

Related Greatest Common Factor of 5827

Frequently Asked Questions on GCF of 5825 and 5827

1. What is the GCF of 5825 and 5827?

Answer: GCF of 5825 and 5827 is 1.

2. 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.

3. What are the Factors of 5827?

Answer: Factors of 5827 are 1, 5827. There are 2 integers that are factors of 5827. The greatest factor of 5827 is 5827.

4. How to Find the GCF of 5825 and 5827?

Answer:

Greatest Common Factor of 5825 and 5827 = 1

Step 1: Find the prime factorization of 5825

5825 = 5 x 5 x 233

Step 2: Find the prime factorization of 5827

5827 = 5827

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 5825 and 5827 is 1