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Factor 8a−28

using the GCF.(1 point)

1 answer

To factor the expression \( 8a - 28 \) using the greatest common factor (GCF), we first need to determine the GCF of the two terms.

  1. Identify the coefficients: The coefficients are 8 and -28.
  2. Find the GCF of 8 and 28: The GCF of these two numbers is 4.
  3. Express each term in terms of the GCF:
    • \( 8a = 4 \cdot 2a \)
    • \( -28 = 4 \cdot -7 \)

Now we can factor out the GCF (4):

\[ 8a - 28 = 4(2a - 7) \]

So, the factored form of \( 8a - 28 \) is:

\[ 4(2a - 7) \]