Given the sum

100 = 64 + 36, rewrite
64 + 36 using their GCF and multiplication. (1 point)
0 4(16 × 9)
0 4(16 + 9)
0 2(32 + 18)
• 1(64 + 36)

1 answer

To rewrite \(64 + 36\) using their greatest common factor (GCF) and multiplication, we first find the GCF of 64 and 36.

The prime factorization of 64 is \(2^6\) and for 36 is \(2^2 \times 3^2\). The GCF is determined by taking the lowest powers of common prime factors:

  • The GCF of 64 and 36 is \(2^2 = 4\).

Now we can express \(64 + 36\) as follows:

\[ 64 + 36 = 4(16 + 9) \]

So, the correct answer is:

0 4(16 + 9)