Greatest Common Factor of 3825 and 3828

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 3825, 3828 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3825 and 3828 is 3.

GCF(3825,3828) = 3

GCF of 3825 and 3828

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

GCF of:
and

Greatest Common Factor of 3825 and 3828

GCF of 3825 and 3828 is 3

Prime Factorization of 3825


3 3825
3 1275
5 425
5 85
17 17
1

Prime factors of 3825 are 3,5,17. Prime factorization of 3825 in exponential form is:

3825 = 32×52×171

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

∴ So by taking common prime factors GCF of 3825 and 3828 is 3

Greatest Common Factor of 3825 and 3828 by matching factors method

Factors of 3825

List of positive integer factors of 3825 that divides 3825 without a remainder.

1,3,5,9,15,17,25,45,51,75,85,153,225,255,425,765,1275,3825

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

Greatest Common Factor

We found the factors and prime factorization of 3825 and 3828. The biggest common factor number is the GCF number.
So the greatest common factor 3825 and 3828 is 3.

Also check out the Least Common Multiple of 3825 and 3828

Properties of GCF 3825 and 3828

(i) The GCF of 3825 and 3828 is associative

GCF of 3825 and 3828 = GCF of 3828 and 3825

Related Greatest Common Factor of 3825

Related Greatest Common Factor of 3828

Frequently Asked Questions on GCF of 3825 and 3828

1. What is the GCF of 3825 and 3828?

Answer: GCF of 3825 and 3828 is 3.

2. What are the Factors of 3825?

Answer: Factors of 3825 are 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825. There are 18 integers that are factors of 3825. The greatest factor of 3825 is 3825.

3. 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.

4. How to Find the GCF of 3825 and 3828?

Answer:

Greatest Common Factor of 3825 and 3828 = 3

Step 1: Find the prime factorization of 3825

3825 = 3 x 3 x 5 x 5 x 17

Step 2: Find the prime factorization of 3828

3828 = 2 x 2 x 3 x 11 x 29

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 3825 and 3828 is 3