To find the greatest common factor (GCF) of the expression \(8d - 20\), we need to factor out the common factors from both terms.
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Identify the coefficients of the terms:
- The coefficients are \(8\) for \(8d\) and \(-20\) for \(-20\).
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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 are \(1, 2, 4\).
- The greatest of these common factors is \(4\).
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Factor the expression: \[ 8d - 20 = 4(2d - 5) \]
Thus, the GCF of \(8d - 20\) is \(4\).