Question

shonda wants to rewrite $24 + 9$ using the greatest common factor and the distributive property.
complete the statements below.
the greatest common factor of 24 and 9 is \boxed{}.
shonda can use the greatest common factor to rewrite $24 + 9$ as \boxed{}(8+ \boxed{}).

Explanation:

Step1: Find GCF of 24 and 9

Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\)
Factors of 9: \(1, 3, 9\)
Common factors: \(1, 3\), so GCF is \(3\).

Step2: Rewrite using distributive property

Divide 24 and 9 by GCF (3):
\(24 \div 3 = 8\), \(9 \div 3 = 3\)
So, \(24 + 9 = 3(8 + 3)\).

Answer:

The greatest common factor of 24 and 9 is \(3\).
Shonda can use the greatest common factor to rewrite \(24 + 9\) as \(3(8 + 3)\).