Factor -27h + 6 using the GCF.
The GCF of -27 and 6 is 3.
So, -27h + 6 can be factored as 3(-9h + 2).
To factor -27h + 6 using the greatest common factor (GCF), we need to find the largest number or variable that can be divided evenly into both terms.
First, let's find the GCF of -27h and 6.
The prime factorization of -27h is -1 * 3 * 3 * h.
The prime factorization of 6 is 2 * 3.
To find the GCF, we take the common factors with the lowest exponents, which are 3 and 1 (since h does not have a factor of 2).
Therefore, the GCF is 3.
Now, we can factor out the GCF from -27h + 6:
GCF * (quotient when each term is divided by the GCF)
= 3 * (-27h / 3 + 6 / 3)
Simplifying this expression gives us the factored form:
-27h + 6 = 3(-9h + 2)
So, -27h + 6 can be factored as 3(-9h + 2).
To factor the expression -27h + 6 using the Greatest Common Factor (GCF), we first need to find the GCF of -27 and 6.
Step 1: Prime Factorization
To find the GCF, we need to prime factorize both -27 and 6.
Prime factorization of -27:
-27 = -1 × 3 × 3 × 3
Prime factorization of 6:
6 = 2 × 3
Step 2: Identify Common Factors
To find the GCF, we need to identify the common factors of -27 and 6.
Common factors of -27: 1, 3
Common factors of 6: 1, 2, 3
Step 3: Find the GCF
The GCF is the greatest common factor of -27 and 6, which is 3.
Step 4: Factor using the GCF
Now that we have the GCF (3), we can factor out the expression -27h + 6.
-27h + 6 = 3(-9h + 2)
Therefore, the expression -27h + 6 can be factored as 3(-9h + 2) using the GCF.