The sum of all the common factors of 36 and 48 (excluding 1) is

The correct option is 27.

To find the sum of all the common factors of 36 and 48 (excluding 1), we can follow these steps:

Step 1: Find the factors of 36
The factors of 36 are the integers that divide 36 completely without leaving any remainder:
1, 2, 3, 4, 6, 9, 12, 18, and 36.

Step 2: Find the factors of 48
Similarly, the factors of 48 are:
1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Step 3: Identify the common factors
By comparing the two lists, the common factors that divide both 36 and 48 are:
1, 2, 3, 4, 6, and 12.

Step 4: Exclude 1 and calculate the sum
Excluding the factor 1, the remaining common factors are:
2, 3, 4, 6, and 12.

Now, we calculate the sum of these remaining common factors:

$\text{Sum}=2+3+4+6+12$

$\text{Sum}=27$

Therefore, the sum of all the common factors of 36 and 48 (excluding 1) is 27.