To factor the expression \(8b - 2c\), we can look for the greatest common factor (GCF) of the two terms.
The terms are \(8b\) and \(-2c\). The GCF of the coefficients 8 and -2 is 2.
Now we can factor out 2 from the expression:
\[ 8b - 2c = 2(4b - c) \]
Thus, the factorization of \(8b - 2c\) is:
\[ \boxed{2(4b - c)} \]