Factor 24n−32

using the GCF

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To factor the expression \(24n - 32\) using the greatest common factor (GCF), follow these steps:

  1. Find the GCF of the coefficients: The coefficients are 24 and 32. The GCF of 24 and 32 is 8.

  2. Factor out the GCF: Divide each term by the GCF (8):

    • \(24n \div 8 = 3n\)
    • \(32 \div 8 = 4\)
  3. Write the factored expression: \[ 24n - 32 = 8(3n - 4) \]

So, the factored form of \(24n - 32\) is \(8(3n - 4)\).