To factor the expression \( 48y + 36z \) using the greatest common factor (GCF), we first need to find the GCF of the coefficients 48 and 36.
- The factors of 48 are: \( 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 \)
- The factors of 36 are: \( 1, 2, 3, 4, 6, 9, 12, 18, 36 \)
The greatest common factor of 48 and 36 is 12.
Now we can factor out the GCF from the expression:
\[ 48y + 36z = 12(4y + 3z) \]
So, the factored form of the expression \( 48y + 36z \) is:
\[ 12(4y + 3z) \]