Problem

The greatest common factor (GCF) of \( x^{3} y^{k} \) and \( x^{2 k} y^{4} \) is \( x^{3} y^{3} \). What is the value of \( k \) ?
A. 1
B. 2
C. 3
D. 4

Answer

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Answer

k=3

Steps

Step 1 ：GCF(x^{3} y^{k}, x^{2 k} y^{4}) = x^{3} y^{3}

Step 2 ：Find minimum power of x and y in both expressions

Step 3 ：k=3

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