What is the Greatest Common Factor of 3813 and 3819?

Greatest common factor (GCF) of 3813 and 3819 is 3.

GCF(3813,3819) = 3

We will now calculate the prime factors of 3813 and 3819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3813 and 3819.

How to find the GCF of 3813 and 3819?

We will first find the prime factorization of 3813 and 3819. After we will calculate the factors of 3813 and 3819 and find the biggest common factor number .

Step-1: Prime Factorization of 3813

Prime factors of 3813 are 3, 31, 41. Prime factorization of 3813 in exponential form is:

3813 = 3¹ × 31¹ × 41¹

Step-2: Prime Factorization of 3819

Prime factors of 3819 are 3, 19, 67. Prime factorization of 3819 in exponential form is:

3819 = 3¹ × 19¹ × 67¹

Step-3: Factors of 3813

List of positive integer factors of 3813 that divides 3813 without a remainder.

1, 3, 31, 41, 93, 123, 1271

Step-4: Factors of 3819

List of positive integer factors of 3819 that divides 3813 without a remainder.

1, 3, 19, 57, 67, 201, 1273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3813 and 3819. The biggest common factor number is the GCF number.
So the greatest common factor 3813 and 3819 is 3.

Also check out the Least Common Multiple of 3813 and 3819