Greatest Common Factor of 3828 and 3834

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, 3834 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3828 and 3834 is 6.

GCF(3828,3834) = 6

GCF of 3828 and 3834

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

GCF of:
and

Greatest Common Factor of 3828 and 3834

GCF of 3828 and 3834 is 6

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 3834


2 3834
3 1917
3 639
3 213
71 71
1

Prime factors of 3834 are 2,3,71. Prime factorization of 3834 in exponential form is:

3834 = 21×33×711

∴ So by taking common prime factors GCF of 3828 and 3834 is 6

Greatest Common Factor of 3828 and 3834 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 3834

List of positive integer factors of 3834 that divides 3834 without a remainder.

1,2,3,6,9,18,27,54,71,142,213,426,639,1278,1917,3834

Greatest Common Factor

We found the factors and prime factorization of 3828 and 3834. The biggest common factor number is the GCF number.
So the greatest common factor 3828 and 3834 is 6.

Also check out the Least Common Multiple of 3828 and 3834

Properties of GCF 3828 and 3834

(i) The GCF of 3828 and 3834 is associative

GCF of 3828 and 3834 = GCF of 3834 and 3828

Related Greatest Common Factor of 3828

Related Greatest Common Factor of 3834

Frequently Asked Questions on GCF of 3828 and 3834

1. What is the GCF of 3828 and 3834?

Answer: GCF of 3828 and 3834 is 6.

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 3834?

Answer: Factors of 3834 are 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834. There are 16 integers that are factors of 3834. The greatest factor of 3834 is 3834.

4. How to Find the GCF of 3828 and 3834?

Answer:

Greatest Common Factor of 3828 and 3834 = 6

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 3834

3834 = 2 x 3 x 3 x 3 x 71

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 3828 and 3834 is 6