What is the Greatest Common Factor of 3783 and 3798?

Greatest common factor (GCF) of 3783 and 3798 is 3.

GCF(3783,3798) = 3

We will now calculate the prime factors of 3783 and 3798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3783 and 3798.

How to find the GCF of 3783 and 3798?

We will first find the prime factorization of 3783 and 3798. After we will calculate the factors of 3783 and 3798 and find the biggest common factor number .

Step-1: Prime Factorization of 3783

Prime factors of 3783 are 3, 13, 97. Prime factorization of 3783 in exponential form is:

3783 = 3¹ × 13¹ × 97¹

Step-2: Prime Factorization of 3798

Prime factors of 3798 are 2, 3, 211. Prime factorization of 3798 in exponential form is:

3798 = 2¹ × 3² × 211¹

Step-3: Factors of 3783

List of positive integer factors of 3783 that divides 3783 without a remainder.

1, 3, 13, 39, 97, 291, 1261

Step-4: Factors of 3798

List of positive integer factors of 3798 that divides 3783 without a remainder.

1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3783 and 3798. The biggest common factor number is the GCF number.
So the greatest common factor 3783 and 3798 is 3.

Also check out the Least Common Multiple of 3783 and 3798