Greatest Common Factor of 817 and 825

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 817, 825 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 817 and 825 is 1.

GCF(817,825) = 1

GCF of 817 and 825

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

GCF of:
and

Greatest Common Factor of 817 and 825

GCF of 817 and 825 is 1

Prime Factorization of 817


19 817
43 43
1

Prime factors of 817 are 19,43. Prime factorization of 817 in exponential form is:

817 = 191×431

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

∴ So by taking common prime factors GCF of 817 and 825 is 1

Greatest Common Factor of 817 and 825 by matching factors method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

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

Greatest Common Factor

We found the factors and prime factorization of 817 and 825. The biggest common factor number is the GCF number.
So the greatest common factor 817 and 825 is 1.

Also check out the Least Common Multiple of 817 and 825

Properties of GCF 817 and 825

(i) The GCF of 817 and 825 is associative

GCF of 817 and 825 = GCF of 825 and 817

Related Greatest Common Factor of 817

Related Greatest Common Factor of 825

Frequently Asked Questions on GCF of 817 and 825

1. What is the GCF of 817 and 825?

Answer: GCF of 817 and 825 is 1.

2. What are the Factors of 817?

Answer: Factors of 817 are 1, 19, 43, 817. There are 4 integers that are factors of 817. The greatest factor of 817 is 817.

3. 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.

4. How to Find the GCF of 817 and 825?

Answer:

Greatest Common Factor of 817 and 825 = 1

Step 1: Find the prime factorization of 817

817 = 19 x 43

Step 2: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

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 817 and 825 is 1