To find the greatest common factor (GCF) of 5 and 28, we start by determining the factors of each number.
The factors of 5 are:
- 1, 5
The factors of 28 are:
- 1, 2, 4, 7, 14, 28
Now, we look for the common factors between these two sets of factors. The only factor that appears in both lists is:
- 1
Therefore, the greatest common factor of 5 and 28 is:
\[ \boxed{1} \]