Greatest Common Factor of 822 and 829

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 822, 829 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 822 and 829 is 1.

GCF(822,829) = 1

GCF of 822 and 829

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

GCF of:
and

Greatest Common Factor of 822 and 829

GCF of 822 and 829 is 1

Prime Factorization of 822


2 822
3 411
137 137
1

Prime factors of 822 are 2,3,137. Prime factorization of 822 in exponential form is:

822 = 21×31×1371

Prime Factorization of 829


829 829
1

Prime factors of 829 are 829. Prime factorization of 829 in exponential form is:

829 = 8291

∴ So by taking common prime factors GCF of 822 and 829 is 1

Greatest Common Factor of 822 and 829 by matching factors method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors and prime factorization of 822 and 829. The biggest common factor number is the GCF number.
So the greatest common factor 822 and 829 is 1.

Also check out the Least Common Multiple of 822 and 829

Properties of GCF 822 and 829

(i) The GCF of 822 and 829 is associative

GCF of 822 and 829 = GCF of 829 and 822

Related Greatest Common Factor of 822

Related Greatest Common Factor of 829

Frequently Asked Questions on GCF of 822 and 829

1. What is the GCF of 822 and 829?

Answer: GCF of 822 and 829 is 1.

2. What are the Factors of 822?

Answer: Factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822. There are 8 integers that are factors of 822. The greatest factor of 822 is 822.

3. What are the Factors of 829?

Answer: Factors of 829 are 1, 829. There are 2 integers that are factors of 829. The greatest factor of 829 is 829.

4. How to Find the GCF of 822 and 829?

Answer:

Greatest Common Factor of 822 and 829 = 1

Step 1: Find the prime factorization of 822

822 = 2 x 3 x 137

Step 2: Find the prime factorization of 829

829 = 829

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 822 and 829 is 1