What is the Greatest Common Factor of 3856 and 3872?

Greatest common factor (GCF) of 3856 and 3872 is 16.

GCF(3856,3872) = 16

We will now calculate the prime factors of 3856 and 3872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3856 and 3872.

How to find the GCF of 3856 and 3872?

We will first find the prime factorization of 3856 and 3872. After we will calculate the factors of 3856 and 3872 and find the biggest common factor number .

Step-1: Prime Factorization of 3856

Prime factors of 3856 are 2, 241. Prime factorization of 3856 in exponential form is:

3856 = 2⁴ × 241¹

Step-2: Prime Factorization of 3872

Prime factors of 3872 are 2, 11. Prime factorization of 3872 in exponential form is:

3872 = 2⁵ × 11²

Step-3: Factors of 3856

List of positive integer factors of 3856 that divides 3856 without a remainder.

1, 2, 4, 8, 16, 241, 482, 964, 1928

Step-4: Factors of 3872

List of positive integer factors of 3872 that divides 3856 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3856 and 3872. The biggest common factor number is the GCF number.
So the greatest common factor 3856 and 3872 is 16.

Also check out the Least Common Multiple of 3856 and 3872