Greatest Common Factor of 3822 and 3826

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 3822, 3826 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3822 and 3826 is 2.

GCF(3822,3826) = 2

GCF of 3822 and 3826

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

GCF of:
and

Greatest Common Factor of 3822 and 3826

GCF of 3822 and 3826 is 2

Prime Factorization of 3822


2 3822
3 1911
7 637
7 91
13 13
1

Prime factors of 3822 are 2,3,7,13. Prime factorization of 3822 in exponential form is:

3822 = 21×31×72×131

Prime Factorization of 3826


2 3826
1913 1913
1

Prime factors of 3826 are 2,1913. Prime factorization of 3826 in exponential form is:

3826 = 21×19131

∴ So by taking common prime factors GCF of 3822 and 3826 is 2

Greatest Common Factor of 3822 and 3826 by matching factors method

Factors of 3822

List of positive integer factors of 3822 that divides 3822 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,49,78,91,98,147,182,273,294,546,637,1274,1911,3822

Factors of 3826

List of positive integer factors of 3826 that divides 3826 without a remainder.

1,2,1913,3826

Greatest Common Factor

We found the factors and prime factorization of 3822 and 3826. The biggest common factor number is the GCF number.
So the greatest common factor 3822 and 3826 is 2.

Also check out the Least Common Multiple of 3822 and 3826

Properties of GCF 3822 and 3826

(i) The GCF of 3822 and 3826 is associative

GCF of 3822 and 3826 = GCF of 3826 and 3822

Related Greatest Common Factor of 3822

Related Greatest Common Factor of 3826

Frequently Asked Questions on GCF of 3822 and 3826

1. What is the GCF of 3822 and 3826?

Answer: GCF of 3822 and 3826 is 2.

2. What are the Factors of 3822?

Answer: Factors of 3822 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822. There are 24 integers that are factors of 3822. The greatest factor of 3822 is 3822.

3. What are the Factors of 3826?

Answer: Factors of 3826 are 1, 2, 1913, 3826. There are 4 integers that are factors of 3826. The greatest factor of 3826 is 3826.

4. How to Find the GCF of 3822 and 3826?

Answer:

Greatest Common Factor of 3822 and 3826 = 2

Step 1: Find the prime factorization of 3822

3822 = 2 x 3 x 7 x 7 x 13

Step 2: Find the prime factorization of 3826

3826 = 2 x 1913

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 3822 and 3826 is 2