Questions: Find the greatest common factor of (5 w^3) and (9 w^4).

Find the greatest common factor of (5 w^3) and (9 w^4).
Transcript text: Find the greatest common factor of $5 w^{3}$ and $9 w^{4}$.
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Solution

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Solution Steps

Step 1: Identify the coefficients

The coefficients of the given monomials are 5 and 9.

Step 2: Find the GCF of the coefficients

The greatest common factor (GCF) of 5 and 9 is 1, since 5 and 9 have no common factors other than 1.

Step 3: Identify the variable parts

The variable parts of the given monomials are \( w^3 \) and \( w^4 \).

Step 4: Find the GCF of the variable parts

The GCF of \( w^3 \) and \( w^4 \) is \( w^3 \), since the lowest power of \( w \) common to both terms is \( w^3 \).

Final Answer

The greatest common factor of \( 5w^3 \) and \( 9w^4 \) is \( w^3 \).

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