Greatest Common Factor of 822 and 826

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, 826 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 822 and 826 is 2.

GCF(822,826) = 2

GCF of 822 and 826

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

GCF of:
and

Greatest Common Factor of 822 and 826

GCF of 822 and 826 is 2

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 826


2 826
7 413
59 59
1

Prime factors of 826 are 2,7,59. Prime factorization of 826 in exponential form is:

826 = 21×71×591

∴ So by taking common prime factors GCF of 822 and 826 is 2

Greatest Common Factor of 822 and 826 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 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors and prime factorization of 822 and 826. The biggest common factor number is the GCF number.
So the greatest common factor 822 and 826 is 2.

Also check out the Least Common Multiple of 822 and 826

Properties of GCF 822 and 826

(i) The GCF of 822 and 826 is associative

GCF of 822 and 826 = GCF of 826 and 822

Related Greatest Common Factor of 822

Related Greatest Common Factor of 826

Frequently Asked Questions on GCF of 822 and 826

1. What is the GCF of 822 and 826?

Answer: GCF of 822 and 826 is 2.

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 826?

Answer: Factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826. There are 8 integers that are factors of 826. The greatest factor of 826 is 826.

4. How to Find the GCF of 822 and 826?

Answer:

Greatest Common Factor of 822 and 826 = 2

Step 1: Find the prime factorization of 822

822 = 2 x 3 x 137

Step 2: Find the prime factorization of 826

826 = 2 x 7 x 59

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

GCF = 2

Step 4: Therefore, the greatest common factor of 822 and 826 is 2