Greatest Common Factor of 825 and 829

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

Greatest common factor (GCF) of 825 and 829 is 1.

GCF(825,829) = 1

GCF of 825 and 829

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

GCF of:
and

Greatest Common Factor of 825 and 829

GCF of 825 and 829 is 1

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 829


829 829
1

Prime factors of 829 are 829. Prime factorization of 829 in exponential form is:

829 = 8291

∴ So by taking common prime factors GCF of 825 and 829 is 1

Greatest Common Factor of 825 and 829 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 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors and prime factorization of 825 and 829. The biggest common factor number is the GCF number.
So the greatest common factor 825 and 829 is 1.

Also check out the Least Common Multiple of 825 and 829

Properties of GCF 825 and 829

(i) The GCF of 825 and 829 is associative

GCF of 825 and 829 = GCF of 829 and 825

Related Greatest Common Factor of 825

Related Greatest Common Factor of 829

Frequently Asked Questions on GCF of 825 and 829

1. What is the GCF of 825 and 829?

Answer: GCF of 825 and 829 is 1.

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 829?

Answer: Factors of 829 are 1, 829. There are 2 integers that are factors of 829. The greatest factor of 829 is 829.

4. How to Find the GCF of 825 and 829?

Answer:

Greatest Common Factor of 825 and 829 = 1

Step 1: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 829

829 = 829

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 825 and 829 is 1