Find the GCF of 8d−20 .(1 point)

1 answer

To find the greatest common factor (GCF) of the expression \(8d - 20\), we need to factor out the common factors from both terms.

  1. Identify the coefficients of the terms:

    • The coefficients are \(8\) for \(8d\) and \(-20\) for \(-20\).
  2. Find the GCF of the coefficients \(8\) and \(20\):

    • The factors of \(8\) are \(1, 2, 4, 8\).
    • The factors of \(20\) are \(1, 2, 4, 5, 10, 20\).
    • The common factors are \(1, 2, 4\).
    • The greatest of these common factors is \(4\).
  3. Factor the expression: \[ 8d - 20 = 4(2d - 5) \]

Thus, the GCF of \(8d - 20\) is \(4\).