Greatest Common Factor of 825 and 833

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

Greatest common factor (GCF) of 825 and 833 is 1.

GCF(825,833) = 1

GCF of 825 and 833

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

GCF of:
and

Greatest Common Factor of 825 and 833

GCF of 825 and 833 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 833


7 833
7 119
17 17
1

Prime factors of 833 are 7,17. Prime factorization of 833 in exponential form is:

833 = 72×171

∴ So by taking common prime factors GCF of 825 and 833 is 1

Greatest Common Factor of 825 and 833 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 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors and prime factorization of 825 and 833. The biggest common factor number is the GCF number.
So the greatest common factor 825 and 833 is 1.

Also check out the Least Common Multiple of 825 and 833

Properties of GCF 825 and 833

(i) The GCF of 825 and 833 is associative

GCF of 825 and 833 = GCF of 833 and 825

Related Greatest Common Factor of 825

Related Greatest Common Factor of 833

Frequently Asked Questions on GCF of 825 and 833

1. What is the GCF of 825 and 833?

Answer: GCF of 825 and 833 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 833?

Answer: Factors of 833 are 1, 7, 17, 49, 119, 833. There are 6 integers that are factors of 833. The greatest factor of 833 is 833.

4. How to Find the GCF of 825 and 833?

Answer:

Greatest Common Factor of 825 and 833 = 1

Step 1: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 833

833 = 7 x 7 x 17

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 833 is 1