Greatest Common Factor of 825 and 830

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, 830 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 825 and 830 is 5.

GCF(825,830) = 5

GCF of 825 and 830

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

GCF of:
and

Greatest Common Factor of 825 and 830

GCF of 825 and 830 is 5

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 830


2 830
5 415
83 83
1

Prime factors of 830 are 2,5,83. Prime factorization of 830 in exponential form is:

830 = 21×51×831

∴ So by taking common prime factors GCF of 825 and 830 is 5

Greatest Common Factor of 825 and 830 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 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors and prime factorization of 825 and 830. The biggest common factor number is the GCF number.
So the greatest common factor 825 and 830 is 5.

Also check out the Least Common Multiple of 825 and 830

Properties of GCF 825 and 830

(i) The GCF of 825 and 830 is associative

GCF of 825 and 830 = GCF of 830 and 825

Related Greatest Common Factor of 825

Related Greatest Common Factor of 830

Frequently Asked Questions on GCF of 825 and 830

1. What is the GCF of 825 and 830?

Answer: GCF of 825 and 830 is 5.

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 830?

Answer: Factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830. There are 8 integers that are factors of 830. The greatest factor of 830 is 830.

4. How to Find the GCF of 825 and 830?

Answer:

Greatest Common Factor of 825 and 830 = 5

Step 1: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 830

830 = 2 x 5 x 83

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 825 and 830 is 5