What is the Greatest Common Factor of 3795 and 3801?

Greatest common factor (GCF) of 3795 and 3801 is 3.

GCF(3795,3801) = 3

We will now calculate the prime factors of 3795 and 3801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3795 and 3801.

How to find the GCF of 3795 and 3801?

We will first find the prime factorization of 3795 and 3801. After we will calculate the factors of 3795 and 3801 and find the biggest common factor number .

Step-1: Prime Factorization of 3795

Prime factors of 3795 are 3, 5, 11, 23. Prime factorization of 3795 in exponential form is:

3795 = 3¹ × 5¹ × 11¹ × 23¹

Step-2: Prime Factorization of 3801

Prime factors of 3801 are 3, 7, 181. Prime factorization of 3801 in exponential form is:

3801 = 3¹ × 7¹ × 181¹

Step-3: Factors of 3795

List of positive integer factors of 3795 that divides 3795 without a remainder.

1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265

Step-4: Factors of 3801

List of positive integer factors of 3801 that divides 3795 without a remainder.

1, 3, 7, 21, 181, 543, 1267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3795 and 3801. The biggest common factor number is the GCF number.
So the greatest common factor 3795 and 3801 is 3.

Also check out the Least Common Multiple of 3795 and 3801