Use Greatest Common Factor to rewrite the expression:(63+81) = ( + )

Answer 1

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

1. Find the GCF of 63 and 81:

   • The factors of 63 are: \( 1, 3, 7, 9, 21, 63 \)
   • The factors of 81 are: \( 1, 3, 9, 27, 81 \)
   • The common factors are: \( 1, 3, 9 \)
   • The greatest common factor is \( 9 \).

2. Rewrite the expression using the GCF:

   • We can factor out the GCF (which is 9) from the sum: \[ 63 + 81 = 9 \cdot (7 + 9) \]

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