To find the greatest common factor (GCF) of 41 and 94, we can start by identifying the factors of each number.
First, let's consider the factors of 41:
- 41 is a prime number, so its only factors are 1 and 41.
Next, we'll look for the factors of 94:
- The factors of 94 are 1, 2, 47, and 94.
Now we can list out the common factors of both numbers:
- The common factor between 41 and 94 is 1.
Since the only common factor is 1, the greatest common factor of 41 and 94 is:
\[ \boxed{1} \]