What is the Greatest Common Factor of 3904 and 3912?

Greatest common factor (GCF) of 3904 and 3912 is 8.

GCF(3904,3912) = 8

We will now calculate the prime factors of 3904 and 3912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3904 and 3912.

How to find the GCF of 3904 and 3912?

We will first find the prime factorization of 3904 and 3912. After we will calculate the factors of 3904 and 3912 and find the biggest common factor number .

Step-1: Prime Factorization of 3904

Prime factors of 3904 are 2, 61. Prime factorization of 3904 in exponential form is:

3904 = 2⁶ × 61¹

Step-2: Prime Factorization of 3912

Prime factors of 3912 are 2, 3, 163. Prime factorization of 3912 in exponential form is:

3912 = 2³ × 3¹ × 163¹

Step-3: Factors of 3904

List of positive integer factors of 3904 that divides 3904 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952

Step-4: Factors of 3912

List of positive integer factors of 3912 that divides 3904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3904 and 3912. The biggest common factor number is the GCF number.
So the greatest common factor 3904 and 3912 is 8.

Also check out the Least Common Multiple of 3904 and 3912