Greatest Common Factor of 3828 and 3829

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, 3829 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3828 and 3829 is 1.

GCF(3828,3829) = 1

GCF of 3828 and 3829

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

GCF of:
and

Greatest Common Factor of 3828 and 3829

GCF of 3828 and 3829 is 1

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 3829


7 3829
547 547
1

Prime factors of 3829 are 7,547. Prime factorization of 3829 in exponential form is:

3829 = 71×5471

∴ So by taking common prime factors GCF of 3828 and 3829 is 1

Greatest Common Factor of 3828 and 3829 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 3829

List of positive integer factors of 3829 that divides 3829 without a remainder.

1,7,547,3829

Greatest Common Factor

We found the factors and prime factorization of 3828 and 3829. The biggest common factor number is the GCF number.
So the greatest common factor 3828 and 3829 is 1.

Also check out the Least Common Multiple of 3828 and 3829

Properties of GCF 3828 and 3829

(i) The GCF of 3828 and 3829 is associative

GCF of 3828 and 3829 = GCF of 3829 and 3828

Related Greatest Common Factor of 3828

Related Greatest Common Factor of 3829

Frequently Asked Questions on GCF of 3828 and 3829

1. What is the GCF of 3828 and 3829?

Answer: GCF of 3828 and 3829 is 1.

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 3829?

Answer: Factors of 3829 are 1, 7, 547, 3829. There are 4 integers that are factors of 3829. The greatest factor of 3829 is 3829.

4. How to Find the GCF of 3828 and 3829?

Answer:

Greatest Common Factor of 3828 and 3829 = 1

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 3829

3829 = 7 x 547

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3828 and 3829 is 1