Find the GCF of 8d−20 .
To find the greatest common factor (GCF) of 8d−20, we need to determine the largest factor that both terms have in common.
First, let's factor out any common factors between 8 and −20. The factors of 8 are 1, 2, 4, and 8. The factors of −20 are 1, 2, 4, 5, 10, and 20. The common factors are 1, 2, and 4.
Now let's consider the variable part, d. Since d is not common to both terms, we do not include it in our GCF.
Therefore, the GCF of 8d−20 is 4.
To find the greatest common factor (GCF) of the expression 8d−20, we need to factor the expression and then determine the highest power of each factor that appears in both terms.
Step 1: Factor the expression 8d−20.
We can factor out the greatest common factor of 8 and 20, which is 4:
4(2d−5)
Step 2: Determine the highest power of each factor.
In the expression 4(2d−5), both terms contain the factor 4, but the first term also contains a factor of d. Therefore, the highest power of the factor d that appears in both terms is 0. The highest power of the factor 4 that appears in both terms is 1.
Step 3: Write the GCF.
The GCF of 8d−20 is 4.
Therefore, the GCF of 8d−20 is 4.
To find the greatest common factor (GCF) of 8d−20, we need to factor both terms and determine the highest power of each common factor.
First, let's factor each term individually.
For 8d, we see that 8 is divisible by 2, and d is a prime factor, so we can write it as:
8d = 2 * 2 * 2 * d = (2^3) * d
For -20, we see that -20 is divisible by 2, so we can write it as:
-20 = (2) * (-10)
Now, let's look for the common factors. We have:
8d = (2^3) * d
-20 = (2) * (-10)
The only common factor is 2.
So, the GCF of 8d−20 is 2.