Greatest Common Factor of 3819 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 3819, 3822 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3819 and 3822 is 3.

GCF(3819,3822) = 3

GCF of 3819 and 3822

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

GCF of:
and

Greatest Common Factor of 3819 and 3822

GCF of 3819 and 3822 is 3

Prime Factorization of 3819


3 3819
19 1273
67 67
1

Prime factors of 3819 are 3,19,67. Prime factorization of 3819 in exponential form is:

3819 = 31×191×671

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 3819 and 3822 is 3

Greatest Common Factor of 3819 and 3822 by matching factors method

Factors of 3819

List of positive integer factors of 3819 that divides 3819 without a remainder.

1,3,19,57,67,201,1273,3819

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 3819 and 3822. The biggest common factor number is the GCF number.
So the greatest common factor 3819 and 3822 is 3.

Also check out the Least Common Multiple of 3819 and 3822

Properties of GCF 3819 and 3822

(i) The GCF of 3819 and 3822 is associative

GCF of 3819 and 3822 = GCF of 3822 and 3819

Related Greatest Common Factor of 3819

Related Greatest Common Factor of 3822

Frequently Asked Questions on GCF of 3819 and 3822

1. What is the GCF of 3819 and 3822?

Answer: GCF of 3819 and 3822 is 3.

2. What are the Factors of 3819?

Answer: Factors of 3819 are 1, 3, 19, 57, 67, 201, 1273, 3819. There are 8 integers that are factors of 3819. The greatest factor of 3819 is 3819.

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 3819 and 3822?

Answer:

Greatest Common Factor of 3819 and 3822 = 3

Step 1: Find the prime factorization of 3819

3819 = 3 x 19 x 67

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 = 3

Step 4: Therefore, the greatest common factor of 3819 and 3822 is 3