What is the Greatest Common Factor of 3789 and 3795?

Greatest common factor (GCF) of 3789 and 3795 is 3.

GCF(3789,3795) = 3

We will now calculate the prime factors of 3789 and 3795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3789 and 3795.

How to find the GCF of 3789 and 3795?

We will first find the prime factorization of 3789 and 3795. After we will calculate the factors of 3789 and 3795 and find the biggest common factor number .

Step-1: Prime Factorization of 3789

Prime factors of 3789 are 3, 421. Prime factorization of 3789 in exponential form is:

3789 = 3² × 421¹

Step-2: 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-3: Factors of 3789

List of positive integer factors of 3789 that divides 3789 without a remainder.

1, 3, 9, 421, 1263

Step-4: Factors of 3795

List of positive integer factors of 3795 that divides 3789 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3789 and 3795. The biggest common factor number is the GCF number.
So the greatest common factor 3789 and 3795 is 3.

Also check out the Least Common Multiple of 3789 and 3795