Factor 8a -28 using the GCF
To factor out the greatest common factor (GCF) from the expression 8a - 28, you need to find the largest number or expression that can divide evenly into both terms.
The GCF of 8a and 28 is 4 because it is the largest number that can divide evenly into both 8 and 28.
Now, you can rewrite the expression as follows:
8a - 28 = 4(2a - 7)
Therefore, 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 largest common factor of the two terms. In this case, both terms have a common factor of 4.
Step 1: Find the GCF
The GCF of 8a and 28 is 4.
Step 2: Divide each term by the GCF
We divide 8a by 4 to get 2a, and we divide 28 by 4 to get 7.
Step 3: Write the factored form
The factored form of 8a - 28 using the GCF is:
4(2a - 7).
Therefore, 8a - 28 factors to 4(2a - 7) using the GCF.
To factor the expression 8a - 28 using the Greatest Common Factor (GCF), we first need to identify the GCF of the two terms.
Step 1: Find the GCF of 8 and 28.
To find the GCF, we list all the factors of the numbers and identify the largest factor they have in common:
Factors of 8: 1, 2, 4, 8
Factors of 28: 1, 2, 4, 7, 14, 28
The largest factor that 8 and 28 have in common is 4. Therefore, the GCF of 8 and 28 is 4.
Step 2: Divide each term by the GCF.
Now, we divide each term by the GCF of 4:
8a ÷ 4 = 2a
28 ÷ 4 = 7
Step 3: Write the factored expression.
We have divided each term by 4, so the factored expression becomes:
4(2a - 7)
Therefore, the factored expression of 8a - 28 using the GCF is 4(2a - 7).