What is the Greatest Common Factor of 3888 and 3906?

Greatest common factor (GCF) of 3888 and 3906 is 18.

GCF(3888,3906) = 18

We will now calculate the prime factors of 3888 and 3906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3888 and 3906.

How to find the GCF of 3888 and 3906?

We will first find the prime factorization of 3888 and 3906. After we will calculate the factors of 3888 and 3906 and find the biggest common factor number .

Step-1: Prime Factorization of 3888

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

3888 = 2⁴ × 3⁵

Step-2: Prime Factorization of 3906

Prime factors of 3906 are 2, 3, 7, 31. Prime factorization of 3906 in exponential form is:

3906 = 2¹ × 3² × 7¹ × 31¹

Step-3: Factors of 3888

List of positive integer factors of 3888 that divides 3888 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

Step-4: Factors of 3906

List of positive integer factors of 3906 that divides 3888 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 62, 63, 93, 126, 186, 217, 279, 434, 558, 651, 1302, 1953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3888 and 3906. The biggest common factor number is the GCF number.
So the greatest common factor 3888 and 3906 is 18.

Also check out the Least Common Multiple of 3888 and 3906