To factor out the greatest common factor (GCF) from the expression \( 35x - 15 \), we first identify the GCF of the coefficients 35 and 15.
- The factors of 35 are: \( 1, 5, 7, 35 \)
- The factors of 15 are: \( 1, 3, 5, 15 \)
The greatest common factor of 35 and 15 is \( 5 \).
Now, we can factor out the GCF from the expression:
\[ 35x - 15 = 5(7x - 3) \]
So, the factored form of \( 35x - 15 \) is:
\[ 5(7x - 3) \]