What is the Greatest Common Factor of 3819 and 3837?

Greatest common factor (GCF) of 3819 and 3837 is 3.

GCF(3819,3837) = 3

We will now calculate the prime factors of 3819 and 3837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3819 and 3837.

How to find the GCF of 3819 and 3837?

We will first find the prime factorization of 3819 and 3837. After we will calculate the factors of 3819 and 3837 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3837

Prime factors of 3837 are 3, 1279. Prime factorization of 3837 in exponential form is:

3837 = 3¹ × 1279¹

Step-3: Factors of 3819

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

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

Step-4: Factors of 3837

List of positive integer factors of 3837 that divides 3819 without a remainder.

1, 3, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3819 and 3837. The biggest common factor number is the GCF number.
So the greatest common factor 3819 and 3837 is 3.

Also check out the Least Common Multiple of 3819 and 3837