Use properties of operations to factor 8w + 16 using GCF.
The greatest common factor (GCF) of 8w and 16 is 8. Therefore, we can factor out 8 from both terms.
8w + 16 = 8(w + 2)
Factor -27h + 6 using the GCF.(1 point)
Responses
3(-9h - 2)
3(-9h - 2)
3(-9h +2)
3(-9h +2)
3(9h + 2)
3(9h + 2)
3(-9h - 2)
To factor 8w + 16 using the greatest common factor (GCF), we first need to find the GCF of the two terms.
Step 1: Find the GCF of 8w and 16:
The factors of 8w are 1, 2, 4, 8, w, and 8w.
The factors of 16 are 1, 2, 4, 8, and 16.
The common factors are 1, 2, 4, and 8.
Therefore, the GCF of 8w and 16 is 8.
Step 2: Divide both terms by the GCF:
Dividing 8w by 8, we get 8w/8 = w.
Dividing 16 by 8, we get 16/8 = 2.
So, 8w + 16 can be factored as 8(w + 2), where the GCF is factored out.
To factor the expression 8w + 16 using the greatest common factor (GCF), we need to identify the largest common factor of both terms.
Step 1: Find the GCF of 8w and 16.
To find the GCF (greatest common factor), we need to identify the largest number that divides evenly into both terms. For the variables 'w' and '8', we only consider the numerical coefficients.
The factors of 8 are: 1, 2, 4, 8.
The factors of 16 are: 1, 2, 4, 8, 16.
As we can see, the largest number that divides evenly into both terms is 8.
Step 2: Divide each term by the GCF.
Divide each term of the expression by the GCF (8) to factor out.
8w ÷ 8 = w
16 ÷ 8 = 2
Step 3: Write the factored form.
Now write the factored form using the GCF, which is 8.
The factored form of 8w + 16 using the GCF is 8(w + 2).