Question

directions: find the gcf of each. 1) $21m^3, 28m$

Explanation:

Step1: Factorize coefficients and variables

Factorize \(21\) and \(28\): \(21 = 3\times7\), \(28 = 4\times7\). For the variable part, \(m^3=m\times m\times m\), \(m = m\).

Step2: Identify common factors

The common numerical factor is \(7\), and the common variable factor is \(m\) (with the lowest power of \(m\) present, which is \(1\)).

Step3: Multiply common factors

Multiply the common numerical and variable factors: \(7\times m = 7m\).

Answer:

\(7m\)