What is the Greatest Common Factor of 3789 and 3804?

Greatest common factor (GCF) of 3789 and 3804 is 3.

GCF(3789,3804) = 3

We will now calculate the prime factors of 3789 and 3804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3789 and 3804.

How to find the GCF of 3789 and 3804?

We will first find the prime factorization of 3789 and 3804. After we will calculate the factors of 3789 and 3804 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 3804

Prime factors of 3804 are 2, 3, 317. Prime factorization of 3804 in exponential form is:

3804 = 2² × 3¹ × 317¹

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 3804

List of positive integer factors of 3804 that divides 3789 without a remainder.

1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3789 and 3804. The biggest common factor number is the GCF number.
So the greatest common factor 3789 and 3804 is 3.

Also check out the Least Common Multiple of 3789 and 3804