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Find the GCF of 8d−20

.(1 point)

1 answer

To find the greatest common factor (GCF) of the expression \(8d - 20\), we can start by identifying the coefficients and constants in the expression.

  1. Look at the coefficients:

    • The coefficient of \(d\) is \(8\).
    • The constant term is \(20\).

  2. Find the GCF of the numbers \(8\) 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: \(1, 2, 4\)

  3. The greatest of these common factors is \(4\).

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

To factor the expression, we can factor out the GCF: \[ 8d - 20 = 4(2d - 5) \]

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