Greatest Common Factor of 3825 and 3833

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, 3833 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3825 and 3833 is 1.

GCF(3825,3833) = 1

GCF of 3825 and 3833

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

GCF of:
and

Greatest Common Factor of 3825 and 3833

GCF of 3825 and 3833 is 1

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 3833


3833 3833
1

Prime factors of 3833 are 3833. Prime factorization of 3833 in exponential form is:

3833 = 38331

∴ So by taking common prime factors GCF of 3825 and 3833 is 1

Greatest Common Factor of 3825 and 3833 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 3833

List of positive integer factors of 3833 that divides 3833 without a remainder.

1,3833

Greatest Common Factor

We found the factors and prime factorization of 3825 and 3833. The biggest common factor number is the GCF number.
So the greatest common factor 3825 and 3833 is 1.

Also check out the Least Common Multiple of 3825 and 3833

Properties of GCF 3825 and 3833

(i) The GCF of 3825 and 3833 is associative

GCF of 3825 and 3833 = GCF of 3833 and 3825

Frequently Asked Questions on GCF of 3825 and 3833

1. What is the GCF of 3825 and 3833?

Answer: GCF of 3825 and 3833 is 1.

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 3833?

Answer: Factors of 3833 are 1, 3833. There are 2 integers that are factors of 3833. The greatest factor of 3833 is 3833.

4. How to Find the GCF of 3825 and 3833?

Answer:

Greatest Common Factor of 3825 and 3833 = 1

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 3833

3833 = 3833

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 3825 and 3833 is 1