Question

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:
\[
(63 + 81) = 9 \cdot (7 + 9)
\]