Find the GCF of 8d−20.(1 point)
The GCF of 8d and -20 is 4.
To find the greatest common factor (GCF) of 8d-20, we need to determine the largest term that can divide both 8d and 20 evenly.
The prime factorization of 8d is 2 * 2 * 2 * d.
The prime factorization of 20 is 2 * 2 * 5.
To find the GCF, we look for the common factors among the prime factorizations.
Both 8d and 20 have two 2's in their prime factorizations. So, the GCF is 2 * 2 = 4.
Therefore, the GCF of 8d-20 is 4.
To find the greatest common factor (GCF) of 8d-20, we need to factor the expression and determine the highest common factor of the terms.
Step 1: Factor the expression
To factor the expression 8d-20, we can start by factoring out the greatest common factor of the coefficients, which in this case is 4.
4(2d-5)
Step 2: Identify the GCF of the terms
Now that we have factored out the common factor of 4 from both terms, we need to determine if there are any common variables between the terms. In this case, both terms have the variable 'd', so we can also factor out 'd'.
4d(2-5/d)
Step 3: Find the GCF
The GCF is the product of the common factors from both terms. In this case, the GCF of 8d-20 is 4d, since that is the product of the common factors 4 and 'd'.
So, the GCF of 8d-20 is 4d.