Find the GCF of 8d−20.(1 point)
The greatest common factor (GCF) of the terms 8d and -20 is 4.
Factor 9z + 18 using the GCF.(1 point)
The greatest common factor (GCF) of 9z and 18 is 9. Thus, we can factor out 9 from both terms:
9z + 18 = 9(z + 2)
To find the Greatest Common Factor (GCF) of 8d-20, we need to find the greatest common factor of the terms in the expression.
Let's start by factoring the terms:
8d can be factored into 2 * 2 * 2 * d.
20 can be factored into 2 * 2 * 5.
Now let's identify the common factors:
The common factors between 8d and 20 are 2 * 2, which is equal to 4.
Therefore, the GCF of 8d-20 is 4.
To find the Greatest Common Factor (GCF) of a given expression, we need to first factor out any common factors present in all the terms.
The expression 8d − 20 has two terms. Let's look for any common factors we can factor out.
Step 1: Find the common factors:
The constant term in the expression is 20, which can be factored as 2 × 2 × 5.
The coefficient of d is 8, which can be factored as 2 × 2 × 2.
Step 2: Identify the common factors:
The common factors are 2 × 2 = 4.
Step 3: Rewrite the expression:
8d − 20 can be rewritten as 4(2d − 5).
Step 4: Determine the GCF:
The GCF of 8d − 20 is the factor we rewrote the expression with, which is 4.
Therefore, the GCF of 8d − 20 is 4.