Find the GCF of 8d−20.
To find the GCF of the terms 8d and -20, we need to find the greatest common factor of their coefficients (8 and -20). The prime factorization of 8 is $2^3$ and the prime factorization of 20 is $2^2 \cdot 5$. The only prime factor common to both is 2, and the exponent of 2 is 2. Therefore, the GCF of 8d and -20 is $2^2 = \boxed{4}$.
To find the greatest common factor (GCF) of 8d−20, we need to factor both terms and identify the common factors.
Let's start by factoring 8d and 20 separately:
For 8d, we can rewrite it as 2 * 2 * 2 * d.
For 20, we can rewrite it as 2 * 2 * 5.
Now, let's list the common factors:
For 8d, we have: 2, 2, 2, and d.
For 20, we have: 2, 2, and 5.
To find the GCF, we can take the product of the common factors:
GCF = 2 * 2 = 4.
Therefore, the GCF of 8d−20 is 4.
To find the Greatest Common Factor (GCF) of 8d−20, follow these steps:
Step 1: Write out the prime factors of each term.
8d = 2 * 2 * 2 * d
-20 = -1 * 2 * 2 * 5
Step 2: Identify the common prime factors.
The common prime factor here is 2.
Step 3: Determine the lowest exponent for each common factor.
The exponent of 2 is 1.
Step 4: Multiply the common prime factors with their lowest exponents.
The GCF of 8d−20 is 2.
Therefore, the GCF of 8d−20 is 2.