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Apply the distributive property to factor out the greatest common factor.

24+18 t=

Apply the distributive property to factor out the greatest common factor. $\newline$ $24+18 t=$

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Q. Apply the distributive property to factor out the greatest common factor.

\newline

24+18 t=

Identify GCF of $24$ and $18$ : Let's identify the greatest common factor (GCF) of $24$ and $18$ . $\newline$ To find the GCF, we list the factors of each number: $\newline$ Factors of $24$ : $1$ , $2$ , $3$ , $4$ , $6$ , $18$ $0$ , $18$ $1$ , $24$ $\newline$ Factors of $18$ : $1$ , $2$ , $3$ , $6$ , $18$ $8$ , $18$ $\newline$ The common factors are $1$ , $2$ , $3$ , and $6$ . The greatest of these is $6$ .
Apply distributive property: Now, we apply the distributive property to factor out the GCF from the expression $24 + 18t$ . $\newline$ We divide each term by the GCF, which is $6$ : $\newline$ $24 \div 6 = 4$ $\newline$ $18t \div 6 = 3t$
Write factored expression: After dividing each term by the GCF, we write the factored expression: $\newline$ $6(4 + 3t)$ $\newline$ This is the expression $24 + 18t$ with the GCF of $6$ factored out.

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