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