To rewrite the sum \(35 + 50\) using their greatest common factor (GCF) and multiplication, we first need to find the GCF of 35 and 50.
The prime factorization of each number is:
- \(35 = 5 \times 7\)
- \(50 = 5 \times 10\)
The GCF of 35 and 50 is 5.
We can factor out the GCF from both numbers: \[ 35 + 50 = 5 \times 7 + 5 \times 10 \]
Now we can rewrite this expression by factoring out the 5: \[ 5 \times (7 + 10) \]
Thus, the expression \(35 + 50\) can be rewritten as: \[ 5 \times (7 + 10) \]