Find the GCF of 8d−20
To find the greatest common factor (GCF) of 8d - 20, we can first factor out the greatest common factor from both terms:
8d - 20 = 4(2d) - 4(5)
The GCF of 8d - 20 is 4.
To find the greatest common factor (GCF) of 8d - 20, we need to factor out any common factors that the two terms share.
Let's start by factoring each term individually:
For 8d, the factors are 2 * 2 * 2 * d.
For 20, the factors are 2 * 2 * 5.
Now, let's look for the common factors between the two terms:
We noticed that both terms have two factors of 2 in common.
Therefore, the GCF of 8d - 20 is 2 * 2, which is equal to 4.
To find the greatest common factor (GCF) of 8d - 20, we need to determine the largest number or term that can evenly divide both 8d and 20.
Step 1: Factorize both numbers.
8d can be factored as 8 * d.
20 can be factored as 2 * 2 * 5.
Step 2: Identify the common factors.
The common factors are the factors that both 8d and 20 share. In this case, the common factors are 2 and 2.
Step 3: Identify the lowest exponent for each common factor.
Since 8d includes a d, we need to consider the exponent for d as well. However, 20 does not contain a d term. So, the exponent for d in the GCF would be 0.
Step 4: Calculate the GCF.
The GCF is calculated by multiplying all the common factors, each raised to the lowest exponent. In this case, the GCF is 2^2 * d^0, which simplifies to 4.
Therefore, the GCF of 8d - 20 is 4.