What is the Greatest Common Factor of 3828 and 3840?

Greatest common factor (GCF) of 3828 and 3840 is 12.

GCF(3828,3840) = 12

We will now calculate the prime factors of 3828 and 3840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3828 and 3840.

How to find the GCF of 3828 and 3840?

We will first find the prime factorization of 3828 and 3840. After we will calculate the factors of 3828 and 3840 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 3840

Prime factors of 3840 are 2, 3, 5. Prime factorization of 3840 in exponential form is:

3840 = 2⁸ × 3¹ × 5¹

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 3840

List of positive integer factors of 3840 that divides 3828 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3828 and 3840. The biggest common factor number is the GCF number.
So the greatest common factor 3828 and 3840 is 12.

Also check out the Least Common Multiple of 3828 and 3840