Given the sum 77=22+55

, rewrite 22+55
using their GCF and multiplication.(1 point)
Responses

11(2×5)
11 left parenthesis 2 times 5 right parenthesis

11(2+5)
11 left parenthesis 2 plus 5 right parenthesis

2(11+5)
2 left parenthesis 11 plus 5 right parenthesis

1(22+55)

1 answer

To rewrite \( 22 + 55 \) using their greatest common factor (GCF) and multiplication, we first find the GCF of 22 and 55.

The prime factorization of 22 is \( 2 \times 11 \) and the prime factorization of 55 is \( 5 \times 11 \).

The GCF is \( 11 \).

Now we can factor \( 22 + 55 \) as follows:

\[ 22 + 55 = 11(2 + 5) \]

Therefore, the correct response is:

11(2+5)