What is the Greatest Common Factor of 3828 and 3844?

Greatest common factor (GCF) of 3828 and 3844 is 4.

GCF(3828,3844) = 4

We will now calculate the prime factors of 3828 and 3844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3828 and 3844.

How to find the GCF of 3828 and 3844?

We will first find the prime factorization of 3828 and 3844. After we will calculate the factors of 3828 and 3844 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 3844

Prime factors of 3844 are 2, 31. Prime factorization of 3844 in exponential form is:

3844 = 2² × 31²

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 3844

List of positive integer factors of 3844 that divides 3828 without a remainder.

1, 2, 4, 31, 62, 124, 961, 1922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3828 and 3844. The biggest common factor number is the GCF number.
So the greatest common factor 3828 and 3844 is 4.

Also check out the Least Common Multiple of 3828 and 3844