Greatest Common Factor of 816 and 823

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 816, 823 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 816 and 823 is 1.

GCF(816,823) = 1

GCF of 816 and 823

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

GCF of:
and

Greatest Common Factor of 816 and 823

GCF of 816 and 823 is 1

Prime Factorization of 816


2 816
2 408
2 204
2 102
3 51
17 17
1

Prime factors of 816 are 2,3,17. Prime factorization of 816 in exponential form is:

816 = 24×31×171

Prime Factorization of 823


823 823
1

Prime factors of 823 are 823. Prime factorization of 823 in exponential form is:

823 = 8231

∴ So by taking common prime factors GCF of 816 and 823 is 1

Greatest Common Factor of 816 and 823 by matching factors method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors and prime factorization of 816 and 823. The biggest common factor number is the GCF number.
So the greatest common factor 816 and 823 is 1.

Also check out the Least Common Multiple of 816 and 823

Properties of GCF 816 and 823

(i) The GCF of 816 and 823 is associative

GCF of 816 and 823 = GCF of 823 and 816

Related Greatest Common Factor of 816

Related Greatest Common Factor of 823

Frequently Asked Questions on GCF of 816 and 823

1. What is the GCF of 816 and 823?

Answer: GCF of 816 and 823 is 1.

2. What are the Factors of 816?

Answer: Factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816. There are 20 integers that are factors of 816. The greatest factor of 816 is 816.

3. What are the Factors of 823?

Answer: Factors of 823 are 1, 823. There are 2 integers that are factors of 823. The greatest factor of 823 is 823.

4. How to Find the GCF of 816 and 823?

Answer:

Greatest Common Factor of 816 and 823 = 1

Step 1: Find the prime factorization of 816

816 = 2 x 2 x 2 x 2 x 3 x 17

Step 2: Find the prime factorization of 823

823 = 823

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 816 and 823 is 1