Factor 8A - 28 using the GCF
To factor 8A - 28 using the Greatest Common Factor (GCF), we need to find the largest number or expression that divides both 8A and 28.
The GCF of 8A and 28 is 4.
So we can factor out 4 from both terms:
8A - 28 = 4(2A - 7)
To factor 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 8A and 28.
The factors of 8A are 1, 2, 4, 8, A, 2A, 4A, and 8A.
The factors of 28 are 1, 2, 4, 7, 14, and 28.
The largest common factor of 8A and 28 is 4.
Step 2: Divide both terms by the GCF.
8A ÷ 4 = 2A
28 ÷ 4 = 7
Step 3: Write the factored form using the GCF.
The factored form of 8A - 28 is 4(2A - 7).
To factorize 8A - 28 using the greatest common factor (GCF), we need to first find the GCF of the terms 8A and 28. The GCF is the largest number that divides both terms evenly.
Step 1: Identify the variables and coefficients in the expression 8A - 28.
- In this case, the coefficient of A is 8, and the constant term is 28.
Step 2: Determine the common factors of the coefficients.
- The factors of 8 are 1, 2, 4, and 8.
- The factors of 28 are 1, 2, 4, 7, 14, and 28.
Step 3: Find the greatest common factor (GCF) of the coefficients.
- The common factors of 8 and 28 are 1, 2, and 4.
- The greatest common factor (GCF) of 8 and 28 is 4.
Step 4: Rewrite the expression using the GCF.
- Divide each term by the GCF, which is 4.
8A divided by 4 is 2A.
28 divided by 4 is 7.
Therefore, the expression 8A - 28 can be factored as 4(2A - 7).
So, the factored form of the expression 8A - 28 using the GCF is 4(2A - 7).