Greatest Common Factor of 825 and 832

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

Greatest common factor (GCF) of 825 and 832 is 1.

GCF(825,832) = 1

GCF of 825 and 832

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

GCF of:
and

Greatest Common Factor of 825 and 832

GCF of 825 and 832 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 832


2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 832 are 2,13. Prime factorization of 832 in exponential form is:

832 = 26×131

∴ So by taking common prime factors GCF of 825 and 832 is 1

Greatest Common Factor of 825 and 832 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 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors and prime factorization of 825 and 832. The biggest common factor number is the GCF number.
So the greatest common factor 825 and 832 is 1.

Also check out the Least Common Multiple of 825 and 832

Properties of GCF 825 and 832

(i) The GCF of 825 and 832 is associative

GCF of 825 and 832 = GCF of 832 and 825

Related Greatest Common Factor of 825

Related Greatest Common Factor of 832

Frequently Asked Questions on GCF of 825 and 832

1. What is the GCF of 825 and 832?

Answer: GCF of 825 and 832 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 832?

Answer: Factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832. There are 14 integers that are factors of 832. The greatest factor of 832 is 832.

4. How to Find the GCF of 825 and 832?

Answer:

Greatest Common Factor of 825 and 832 = 1

Step 1: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 832

832 = 2 x 2 x 2 x 2 x 2 x 2 x 13

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 832 is 1