Greatest Common Factor of 826 and 834

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 826, 834 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 826 and 834 is 2.

GCF(826,834) = 2

GCF of 826 and 834

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

GCF of:
and

Greatest Common Factor of 826 and 834

GCF of 826 and 834 is 2

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

Prime Factorization of 834


2 834
3 417
139 139
1

Prime factors of 834 are 2,3,139. Prime factorization of 834 in exponential form is:

834 = 21×31×1391

∴ So by taking common prime factors GCF of 826 and 834 is 2

Greatest Common Factor of 826 and 834 by matching factors method

Factors of 826

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

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

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors and prime factorization of 826 and 834. The biggest common factor number is the GCF number.
So the greatest common factor 826 and 834 is 2.

Also check out the Least Common Multiple of 826 and 834

Properties of GCF 826 and 834

(i) The GCF of 826 and 834 is associative

GCF of 826 and 834 = GCF of 834 and 826

Related Greatest Common Factor of 826

Related Greatest Common Factor of 834

Frequently Asked Questions on GCF of 826 and 834

1. What is the GCF of 826 and 834?

Answer: GCF of 826 and 834 is 2.

2. 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.

3. What are the Factors of 834?

Answer: Factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834. There are 8 integers that are factors of 834. The greatest factor of 834 is 834.

4. How to Find the GCF of 826 and 834?

Answer:

Greatest Common Factor of 826 and 834 = 2

Step 1: Find the prime factorization of 826

826 = 2 x 7 x 59

Step 2: Find the prime factorization of 834

834 = 2 x 3 x 139

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 826 and 834 is 2