Greatest Common Factor of 825 and 831

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 825, 831 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 825 and 831 is 3.

GCF(825,831) = 3

GCF of 825 and 831

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

GCF of:
and

Greatest Common Factor of 825 and 831

GCF of 825 and 831 is 3

Prime Factorization of 825


3 825
5 275
5 55
11 11
1

Prime factors of 825 are 3,5,11. Prime factorization of 825 in exponential form is:

825 = 31×52×111

Prime Factorization of 831


3 831
277 277
1

Prime factors of 831 are 3,277. Prime factorization of 831 in exponential form is:

831 = 31×2771

∴ So by taking common prime factors GCF of 825 and 831 is 3

Greatest Common Factor of 825 and 831 by matching factors method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors and prime factorization of 825 and 831. The biggest common factor number is the GCF number.
So the greatest common factor 825 and 831 is 3.

Also check out the Least Common Multiple of 825 and 831

Properties of GCF 825 and 831

(i) The GCF of 825 and 831 is associative

GCF of 825 and 831 = GCF of 831 and 825

Related Greatest Common Factor of 825

Related Greatest Common Factor of 831

Frequently Asked Questions on GCF of 825 and 831

1. What is the GCF of 825 and 831?

Answer: GCF of 825 and 831 is 3.

2. What are the Factors of 825?

Answer: Factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825. There are 12 integers that are factors of 825. The greatest factor of 825 is 825.

3. What are the Factors of 831?

Answer: Factors of 831 are 1, 3, 277, 831. There are 4 integers that are factors of 831. The greatest factor of 831 is 831.

4. How to Find the GCF of 825 and 831?

Answer:

Greatest Common Factor of 825 and 831 = 3

Step 1: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 831

831 = 3 x 277

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 825 and 831 is 3