What is the greastest common factor of the following polynomial: -3m^2-3m GCE typeyouranswer

To find the greatest common factor (GCF) of the polynomial \(-3m^2 - 3m\), we need to identify the largest factor that divides both terms of the polynomial.<br /><br />First, let's factor each term separately:<br />- The first term is \(-3m^2\). The factors of this term are \(-3\) and \(m^2\).<br />- The second term is \(-3m\). The factors of this term are \(-3\) and \(m\).<br /><br />Next, we identify the common factors between the two terms:<br />- Both terms have the factor \(-3\).<br />- Both terms have the factor \(m\).<br /><br />Therefore, the GCF of the polynomial \(-3m^2 - 3m\) is \(-3m\).<br /><br />So, the greatest common factor is:<br />\[<br />\boxed{-3m}<br />\]