Greatest Common Factor of 3828 and 3831

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 3828, 3831 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3828 and 3831 is 3.

GCF(3828,3831) = 3

GCF of 3828 and 3831

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

GCF of:
and

Greatest Common Factor of 3828 and 3831

GCF of 3828 and 3831 is 3

Prime Factorization of 3828


2 3828
2 1914
3 957
11 319
29 29
1

Prime factors of 3828 are 2,3,11,29. Prime factorization of 3828 in exponential form is:

3828 = 22×31×111×291

Prime Factorization of 3831


3 3831
1277 1277
1

Prime factors of 3831 are 3,1277. Prime factorization of 3831 in exponential form is:

3831 = 31×12771

∴ So by taking common prime factors GCF of 3828 and 3831 is 3

Greatest Common Factor of 3828 and 3831 by matching factors method

Factors of 3828

List of positive integer factors of 3828 that divides 3828 without a remainder.

1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,3828

Factors of 3831

List of positive integer factors of 3831 that divides 3831 without a remainder.

1,3,1277,3831

Greatest Common Factor

We found the factors and prime factorization of 3828 and 3831. The biggest common factor number is the GCF number.
So the greatest common factor 3828 and 3831 is 3.

Also check out the Least Common Multiple of 3828 and 3831

Properties of GCF 3828 and 3831

(i) The GCF of 3828 and 3831 is associative

GCF of 3828 and 3831 = GCF of 3831 and 3828

Related Greatest Common Factor of 3828

Related Greatest Common Factor of 3831

Frequently Asked Questions on GCF of 3828 and 3831

1. What is the GCF of 3828 and 3831?

Answer: GCF of 3828 and 3831 is 3.

2. What are the Factors of 3828?

Answer: Factors of 3828 are 1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914, 3828. There are 24 integers that are factors of 3828. The greatest factor of 3828 is 3828.

3. What are the Factors of 3831?

Answer: Factors of 3831 are 1, 3, 1277, 3831. There are 4 integers that are factors of 3831. The greatest factor of 3831 is 3831.

4. How to Find the GCF of 3828 and 3831?

Answer:

Greatest Common Factor of 3828 and 3831 = 3

Step 1: Find the prime factorization of 3828

3828 = 2 x 2 x 3 x 11 x 29

Step 2: Find the prime factorization of 3831

3831 = 3 x 1277

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 3828 and 3831 is 3