What is the Greatest Common Factor of 3872 and 3888?

Greatest common factor (GCF) of 3872 and 3888 is 16.

GCF(3872,3888) = 16

We will now calculate the prime factors of 3872 and 3888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3872 and 3888.

How to find the GCF of 3872 and 3888?

We will first find the prime factorization of 3872 and 3888. After we will calculate the factors of 3872 and 3888 and find the biggest common factor number .

Step-1: Prime Factorization of 3872

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

3872 = 2⁵ × 11²

Step-2: Prime Factorization of 3888

Prime factors of 3888 are 2, 3. Prime factorization of 3888 in exponential form is:

3888 = 2⁴ × 3⁵

Step-3: Factors of 3872

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

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

Step-4: Factors of 3888

List of positive integer factors of 3888 that divides 3872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3872 and 3888. The biggest common factor number is the GCF number.
So the greatest common factor 3872 and 3888 is 16.

Also check out the Least Common Multiple of 3872 and 3888