What is the Greatest Common Factor of 3828 and 3839?

Greatest common factor (GCF) of 3828 and 3839 is 11.

GCF(3828,3839) = 11

We will now calculate the prime factors of 3828 and 3839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3828 and 3839.

How to find the GCF of 3828 and 3839?

We will first find the prime factorization of 3828 and 3839. After we will calculate the factors of 3828 and 3839 and find the biggest common factor number .

Step-1: Prime Factorization of 3828

Prime factors of 3828 are 2, 3, 11, 29. Prime factorization of 3828 in exponential form is:

3828 = 2² × 3¹ × 11¹ × 29¹

Step-2: Prime Factorization of 3839

Prime factors of 3839 are 11, 349. Prime factorization of 3839 in exponential form is:

3839 = 11¹ × 349¹

Step-3: Factors of 3828

List of positive integer factors of 3828 that divides 3828 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 132, 174, 319, 348, 638, 957, 1276, 1914

Step-4: Factors of 3839

List of positive integer factors of 3839 that divides 3828 without a remainder.

1, 11, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3828 and 3839. The biggest common factor number is the GCF number.
So the greatest common factor 3828 and 3839 is 11.

Also check out the Least Common Multiple of 3828 and 3839