Find the GCF of 20x − 4. (1 point)

1 answer

To find the GCF (Greatest Common Factor) of the expression \(20x - 4\), we first identify the coefficients and constants in the expression.

  1. Identify the coefficients:

    • The coefficient of \(20x\) is \(20\).
    • The constant term is \(-4\).
  2. Find the GCF of the coefficients: The GCF of \(20\) and \(4\) can be determined by finding the factors:

    • The factors of \(20\) are \(1, 2, 4, 5, 10, 20\).
    • The factors of \(4\) are \(1, 2, 4\).
    • The common factors are \(1, 2, 4\), so the GCF is \(4\).
  3. Factor out the GCF from the expression: Now, factor out \(4\) from the expression: \[ 20x - 4 = 4(5x - 1) \]

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