Factor 16d−12 using the GCF.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 days ago

To factor the expression \(16d - 12\) using the greatest common factor (GCF), we first need to identify the GCF of the coefficients 16 and 12.

  1. Find the GCF of 16 and 12:

    • The factors of 16 are: \(1, 2, 4, 8, 16\)
    • The factors of 12 are: \(1, 2, 3, 4, 6, 12\)
    • The common factors are: \(1, 2, 4\)
    • The greatest of these is \(4\).
  2. Factor out the GCF from the expression: \[ 16d - 12 = 4(4d) - 4(3) \] \[ = 4(4d - 3) \]

Therefore, the factored form of \(16d - 12\) using the GCF is: \[ \boxed{4(4d - 3)} \]