factor 8a - 28 using GCF
To factor 8a - 28 using the greatest common factor (GCF), we need to find the largest number or variable that is a factor of both terms. The GCF of 8a and 28 is 4.
Therefore, we can rewrite 8a - 28 as follows:
8a - 28 = 4(2a - 7)
So, the factored form of 8a - 28 using the GCF is 4(2a - 7).
To factor the expression 8a - 28 using the greatest common factor (GCF), we first need to find the GCF of the two terms.
The GCF of 8a and 28 is 4.
Now, we can rewrite the expression as:
8a - 28 = 4(2a - 7)
So, the factored form of 8a - 28 using GCF is 4(2a - 7).
To factor the expression 8a - 28 using the Greatest Common Factor (GCF), we need to find the largest common factor of both terms.
Step 1: Find the GCF of the coefficients.
The coefficient of the expression is 8. The prime factors of 8 are 2 * 2 * 2. Therefore, the GCF of the coefficients is 2.
Step 2: Find the GCF of the variables.
The variable of the expression is "a". Since there is no other term with "a" as a common factor, the GCF of the variables is just "a".
Step 3: Write the expression in factored form.
Using the GCF of the coefficients (2) and the GCF of the variables (a), we can factor out "2a" from the given expression:
8a - 28 = 2a(4 - 14)
Therefore, the factored form of the expression 8a - 28 using GCF is 2a(4 - 14).