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