What is the Greatest Common Factor of 3825 and 3841?

Greatest common factor (GCF) of 3825 and 3841 is 1.

GCF(3825,3841) = 1

We will now calculate the prime factors of 3825 and 3841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3825 and 3841.

How to find the GCF of 3825 and 3841?

We will first find the prime factorization of 3825 and 3841. After we will calculate the factors of 3825 and 3841 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 3841

Prime factors of 3841 are 23, 167. Prime factorization of 3841 in exponential form is:

3841 = 23¹ × 167¹

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 3841

List of positive integer factors of 3841 that divides 3825 without a remainder.

1, 23, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3825 and 3841. The biggest common factor number is the GCF number.
So the greatest common factor 3825 and 3841 is 1.

Also check out the Least Common Multiple of 3825 and 3841