Factor 8a − 28 using the GCF.(1 point)
The greatest common factor (GCF) of 8a and 28 is 4. By factoring out the GCF from both terms, we get:
8a - 28 = 4(2a - 7)
To factor 8a - 28 using the GCF (Greatest Common Factor), we need to find the largest number or variable that divides evenly into both terms.
In this case, the GCF of 8a and 28 is 4.
To factor out the GCF, we divide both terms by 4:
(8a ÷ 4) - (28 ÷ 4) = 2a - 7
So, the factored form of 8a - 28 using the GCF is 2a - 7.
To factor the expression 8a - 28 using the GCF (Greatest Common Factor), you need to find the largest number that divides evenly into both terms.
Let's start by finding the GCF of the coefficients (numbers in front of the variables) 8 and 28. The factors of 8 are 1, 2, 4, and 8, while the factors of 28 are 1, 2, 4, 7, 14, and 28. The highest common factor among them is 4.
Now, let's look at the variables (a) in both terms. Since there's only one "a" in the expression 8a - 28, we include it in the factored form.
Putting it all together, the GCF of 8a and 28 is 4, so we can factor out 4 from both terms:
8a - 28 = 4(2a - 7)
Therefore, the factored form of 8a - 28 using the GCF is 4(2a - 7).