Greatest Common Factor of 825 and 827

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

Greatest common factor (GCF) of 825 and 827 is 1.

GCF(825,827) = 1

GCF of 825 and 827

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

GCF of:
and

Greatest Common Factor of 825 and 827

GCF of 825 and 827 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 827


827 827
1

Prime factors of 827 are 827. Prime factorization of 827 in exponential form is:

827 = 8271

∴ So by taking common prime factors GCF of 825 and 827 is 1

Greatest Common Factor of 825 and 827 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 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors and prime factorization of 825 and 827. The biggest common factor number is the GCF number.
So the greatest common factor 825 and 827 is 1.

Also check out the Least Common Multiple of 825 and 827

Properties of GCF 825 and 827

(i) The GCF of 825 and 827 is associative

GCF of 825 and 827 = GCF of 827 and 825

Related Greatest Common Factor of 825

Related Greatest Common Factor of 827

Frequently Asked Questions on GCF of 825 and 827

1. What is the GCF of 825 and 827?

Answer: GCF of 825 and 827 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 827?

Answer: Factors of 827 are 1, 827. There are 2 integers that are factors of 827. The greatest factor of 827 is 827.

4. How to Find the GCF of 825 and 827?

Answer:

Greatest Common Factor of 825 and 827 = 1

Step 1: Find the prime factorization of 825

825 = 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 827

827 = 827

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 827 is 1