What is the greatest common factor of x^4 and x^3 x x^2 x^3 x^4

<br />To find the greatest common factor (GCF) of $x^{4}$ and $x^{3}$, we need to identify the highest power of $x$ that divides both terms.<br /><br />The term $x^{4}$ can be factored as $x \cdot x \cdot x \cdot x$, and the term $x^{3}$ can be factored as $x \cdot x \cdot x$.<br /><br />The common factors between $x^{4}$ and $x^{3}$ are $x$, $x$, and $x$, which can be multiplied together to give $x^{3}$.<br /><br />Therefore, the greatest common factor of $x^{4}$ and $x^{3}$ is $\mathbf{x^{3}}$.