What is the Greatest Common Factor of 3825 and 3829?

Greatest common factor (GCF) of 3825 and 3829 is 1.

GCF(3825,3829) = 1

We will now calculate the prime factors of 3825 and 3829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3825 and 3829.

How to find the GCF of 3825 and 3829?

We will first find the prime factorization of 3825 and 3829. After we will calculate the factors of 3825 and 3829 and find the biggest common factor number .

Step-1: Prime Factorization of 3825

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

3825 = 3² × 5² × 17¹

Step-2: Prime Factorization of 3829

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

3829 = 7¹ × 547¹

Step-3: 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

Step-4: Factors of 3829

List of positive integer factors of 3829 that divides 3825 without a remainder.

1, 7, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3825 and 3829. The biggest common factor number is the GCF number.
So the greatest common factor 3825 and 3829 is 1.

Also check out the Least Common Multiple of 3825 and 3829