find the gfc of 20x-4

1 answer

To find the greatest common factor (GCF) of the expression \(20x - 4\), we need to factor out the largest common factor from both terms.

  1. Identify the coefficients and the variable:

    • The coefficients are 20 and -4.
    • The terms are \(20x\) and \(-4\).
  2. Determine the GCF of the coefficients:

    • The GCF of 20 and 4 is 4.
  3. Factor out the GCF:

    • We can factor out 4 from the expression: \[ 20x - 4 = 4(5x - 1) \]

Thus, the GCF of the expression \(20x - 4\) is 4.