Questions: 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 $9 w^{4}$.

Solution

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 $.

The greatest common factor of $ 5w^3 $ and $ 9w^4 $ is $ w^3 $.

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