Greatest Common Factor of 3816 and 3822

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 3816, 3822 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3816 and 3822 is 6.

GCF(3816,3822) = 6

GCF of 3816 and 3822

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

GCF of:
and

Greatest Common Factor of 3816 and 3822

GCF of 3816 and 3822 is 6

Prime Factorization of 3816


2 3816
2 1908
2 954
3 477
3 159
53 53
1

Prime factors of 3816 are 2,3,53. Prime factorization of 3816 in exponential form is:

3816 = 23×32×531

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

∴ So by taking common prime factors GCF of 3816 and 3822 is 6

Greatest Common Factor of 3816 and 3822 by matching factors method

Factors of 3816

List of positive integer factors of 3816 that divides 3816 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,53,72,106,159,212,318,424,477,636,954,1272,1908,3816

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

Greatest Common Factor

We found the factors and prime factorization of 3816 and 3822. The biggest common factor number is the GCF number.
So the greatest common factor 3816 and 3822 is 6.

Also check out the Least Common Multiple of 3816 and 3822

Properties of GCF 3816 and 3822

(i) The GCF of 3816 and 3822 is associative

GCF of 3816 and 3822 = GCF of 3822 and 3816

Related Greatest Common Factor of 3816

Related Greatest Common Factor of 3822

Frequently Asked Questions on GCF of 3816 and 3822

1. What is the GCF of 3816 and 3822?

Answer: GCF of 3816 and 3822 is 6.

2. What are the Factors of 3816?

Answer: Factors of 3816 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, 3816. There are 24 integers that are factors of 3816. The greatest factor of 3816 is 3816.

3. 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.

4. How to Find the GCF of 3816 and 3822?

Answer:

Greatest Common Factor of 3816 and 3822 = 6

Step 1: Find the prime factorization of 3816

3816 = 2 x 2 x 2 x 3 x 3 x 53

Step 2: Find the prime factorization of 3822

3822 = 2 x 3 x 7 x 7 x 13

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3816 and 3822 is 6