Factor -27h+6 using the GCF
To factor -27h + 6 using the greatest common factor (GCF), we need to find the highest common factor of -27h and 6.
The factors of -27h are -1, -3, -9, -27, 1, 3, 9, and 27.
The factors of 6 are -1, -2, -3, -6, 1, 2, 3, and 6.
The GCF is the largest number that is common to both sets of factors, which is 3.
Therefore, we can factor -27h + 6 as:
(-3)(9h - 2)
To factor the expression -27h + 6 using the greatest common factor (GCF):
Step 1: Find the GCF of the terms -27h and 6. The GCF of -27h and 6 is 3.
Step 2: Divide each term by the GCF to determine what will be factored out.
-27h ÷ 3 = -9h
6 ÷ 3 = 2
Step 3: Write the expression using the factored terms.
The expression -27h + 6 can be factored as 3(-9h + 2).
To factor -27h+6 using the Greatest Common Factor (GCF), we first need to find the GCF of the two terms.
Step 1: Find the GCF
To find the GCF of -27h and 6, we can list the prime factors of each term:
-27h = -1 * 3 * 3 * 3 * h
6 = 2 * 3
Now, we identify the common factors of -27h and 6, which are 3. However, we need to consider the sign as well. Since both terms are negative, the GCF is -3.
Step 2: Divide each term by the GCF
Next, we divide -27h and 6 by the GCF (-3):
(-27h) / (-3) = 9h
6 / (-3) = -2
Step 3: Write the factored expression
Now that we have divided each term by the GCF, we can rewrite the expression in factored form:
-27h + 6 = -3(9h - 2)
Therefore, the factored form of -27h+6 using the GCF is -3(9h - 2).