Question

gfc of 8d -20

Answer 1

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:

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