Factor -27h+6 using gcf
The GCF (greatest common factor) of -27h and 6 is 3.
So, we can factor out 3 from both terms:
-27h = -3 * 9 * h = -3 * 3 * 3 * h = -3^3 * h
6 = 3 * 2
Therefore,
-27h + 6 = -3^3 * h + 3 * 2
And we can rewrite it as:
-27h + 6 = 3(-3^2h + 2)
To factor -27h+6 using the greatest common factor (GCF), we need to find the largest number or variable that is common to both terms. In this case, the GCF is 3.
So we can start by factoring out the GCF from each term:
-27h + 6
First, let's factor out the GCF from the coefficient -27h:
-27h ÷ 3 = -9h
Next, let's factor out the GCF from the constant term 6:
6 ÷ 3 = 2
Putting it all together:
-27h + 6 = 3(-9h + 2)
Therefore, -27h + 6 can be factored as 3(-9h + 2).
To factor the expression -27h + 6 using the greatest common factor (GCF), we need to determine the largest common factor of the coefficients -27 and 6.
Step 1: Determine the Factors
The factors of -27 are: -1, 1, -3, 3, -9, 9, -27, and 27.
The factors of 6 are: -1, 1, -2, 2, -3, 3, -6, and 6.
Step 2: Find the GCF
The common factors of -27 and 6 are: -1, 1, -3, and 3.
However, we are looking for the largest common factor, which in this case is 3.
Step 3: Factor Out the GCF
To factor using the GCF, we can divide each term by the GCF, which is 3:
-27h ÷ 3 = -9h
6 ÷ 3 = 2
Step 4: Write the Factored Expression
The factored expression is:
-27h + 6 = 3(-9h + 2)
Therefore, the expression -27h + 6 can be factored as 3(-9h + 2) using the GCF of 3.