Question

Using the greatest common factor for one term, how can you write 45 + 36 as a product?(1 point)
Responses

4(11 + 9)
4(11 + 9)

9(5 + 4)
9(5 + 4)

3(15 + 12)
3(15 + 12)

6(5 + 4)

Answer 1

To write \( 45 + 36 \) as a product using the greatest common factor (GCF), we first find the GCF of the two numbers.

The factors of 45 are:
- \( 1, 3, 5, 9, 15, 45 \)

The factors of 36 are:
- \( 1, 2, 3, 4, 6, 9, 12, 18, 36 \)

The GCF of 45 and 36 is \( 9 \).

Now, we can factor out \( 9 \) from each term:
\[
45 + 36 = 9(5) + 9(4) = 9(5 + 4)
\]

Thus, the expression \( 45 + 36 \) can be written as:
\[
9(5 + 4)
\]

So, the correct answer is:
**9(5 + 4)**.