Find the greatest common factor. \[ 2 m^{3}, 6 m^{3} \]
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To find the greatest common factor (GCF) of \(2m^3\) and \(6m^3\), start by factoring each term. The term \(2m^3\) can be factored into \(2 \cdot m^3\), and \(6m^3\) can be factored into \(2 \cdot 3 \cdot m^3\). The GCF is determined by identifying the lowest powers of each factor: the GCF of the coefficients 2 and 6 is 2, and the GCF of \(m^3\) is \(m^3\) itself. So, the GCF is \(2m^3\). The greatest common factor of \(2m^3\) and \(6m^3\) is \(2m^3\). Enjoy using this knowledge to simplify expressions and solve problems!