What is the Greatest Common Factor of 3805 and 3825?

Greatest common factor (GCF) of 3805 and 3825 is 5.

GCF(3805,3825) = 5

We will now calculate the prime factors of 3805 and 3825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3805 and 3825.

How to find the GCF of 3805 and 3825?

We will first find the prime factorization of 3805 and 3825. After we will calculate the factors of 3805 and 3825 and find the biggest common factor number .

Step-1: Prime Factorization of 3805

Prime factors of 3805 are 5, 761. Prime factorization of 3805 in exponential form is:

3805 = 5¹ × 761¹

Step-2: 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-3: Factors of 3805

List of positive integer factors of 3805 that divides 3805 without a remainder.

1, 5, 761

Step-4: Factors of 3825

List of positive integer factors of 3825 that divides 3805 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3805 and 3825. The biggest common factor number is the GCF number.
So the greatest common factor 3805 and 3825 is 5.

Also check out the Least Common Multiple of 3805 and 3825