Use Greatest Common Factor to rewrite the expression:

Question

(63+81)
=
(
+

Answer 1

To rewrite the expression \( (63 + 81) \) using the Greatest Common Factor (GCF), we first need to find the GCF of 63 and 81.

1. Find the GCF of 63 and 81:

   • The prime factorization of 63 is \( 3^2 \times 7 \).
   • The prime factorization of 81 is \( 3^4 \).

   The common factor is \( 3^2 = 9 \).

2. Factor out the GCF:

   • We can rewrite \( 63 \) and \( 81 \) in terms of the GCF of 9:
     • \( 63 = 9 \times 7 \)
     • \( 81 = 9 \times 9 \)

3. Rewrite the expression: \[ 63 + 81 = 9 \times 7 + 9 \times 9 = 9(7 + 9) \]

Thus, the expression can be rewritten as: \[ (63 + 81) = 9(7 + 9) \]