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gfc of 8d -20

1 answer

To find the greatest common factor (GCF) of the terms \(8d\) and \(-20\), we look for the highest factor that both terms share.

  1. Identify the coefficients:

    • The coefficient of \(8d\) is \(8\).
    • The coefficient of \(-20\) is \(20\) (we consider the positive value for finding the GCF).

  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 of \(8\) and \(20\) are \(1, 2, 4\).
    • The greatest of these common factors is \(4\).

  3. Incorporate any variables:

    • The term \(8d\) has the variable \(d\), while \(-20\) does not have a variable. Therefore, the GCF concerning the variable part is just \(1\).

Putting it all together, the GCF of \(8d\) and \(-20\) is \(4\).

So, the GCF is:

\[ \text{GCF}(8d, -20) = 4 \]