Greatest Common Factor of 3825 and 3830

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, 3830 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3825 and 3830 is 5.

GCF(3825,3830) = 5

GCF of 3825 and 3830

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

GCF of:
and

Greatest Common Factor of 3825 and 3830

GCF of 3825 and 3830 is 5

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 3830


2 3830
5 1915
383 383
1

Prime factors of 3830 are 2,5,383. Prime factorization of 3830 in exponential form is:

3830 = 21×51×3831

∴ So by taking common prime factors GCF of 3825 and 3830 is 5

Greatest Common Factor of 3825 and 3830 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 3830

List of positive integer factors of 3830 that divides 3830 without a remainder.

1,2,5,10,383,766,1915,3830

Greatest Common Factor

We found the factors and prime factorization of 3825 and 3830. The biggest common factor number is the GCF number.
So the greatest common factor 3825 and 3830 is 5.

Also check out the Least Common Multiple of 3825 and 3830

Properties of GCF 3825 and 3830

(i) The GCF of 3825 and 3830 is associative

GCF of 3825 and 3830 = GCF of 3830 and 3825

Related Greatest Common Factor of 3825

Related Greatest Common Factor of 3830

Frequently Asked Questions on GCF of 3825 and 3830

1. What is the GCF of 3825 and 3830?

Answer: GCF of 3825 and 3830 is 5.

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 3830?

Answer: Factors of 3830 are 1, 2, 5, 10, 383, 766, 1915, 3830. There are 8 integers that are factors of 3830. The greatest factor of 3830 is 3830.

4. How to Find the GCF of 3825 and 3830?

Answer:

Greatest Common Factor of 3825 and 3830 = 5

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 3830

3830 = 2 x 5 x 383

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3825 and 3830 is 5