Find the GCF of 20x - 4
To find the greatest common factor (GCF) of 20x - 4, we need to find the highest factor that both terms have in common.
First, let's factor out the greatest common factor between 20 and 4, which is 4.
20x - 4 = 4(5x - 1)
Now, the GCF of 20x - 4 is 4.
To find the greatest common factor (GCF) of 20x - 4, we need to factor the expression fully and identify the common factors.
Step 1: Start by factoring out the greatest common factor (GCF) of the numeric coefficients, 20 and 4. The GCF of 20 and 4 is 4:
20x - 4 = 4(5x - 1)
Step 2: After factoring out the numerical GCF, check if there are any common variables. In this case, the variable is x. Since x is common to both terms, we can factor it out:
4(5x - 1) = 4x(5 - 1)
Step 3: Simplify the expression further if possible:
4x(5 - 1) = 4x(4)
Step 4: The final expression is now fully factored, and there are no more common factors. Therefore, the GCF of 20x - 4 is 4x.
GCF = 4x
To find the greatest common factor (GCF) of the expression 20x - 4, we need to factorize it.
Step 1: Look for common factors.
The expression 20x - 4 does not have any common numerical factors, like 2 or 4, since the coefficients are different. However, we can still factor out a common variable factor, which is "x".
20x - 4 = x(20 - 4)
Step 2: Simplify the expression.
Now, simplify the expression inside the parentheses.
20 - 4 = 16
Therefore, 20x - 4 can be further simplified as:
20x - 4 = x(16)
Step 3: Determine the GCF.
The GCF is the largest common factor that can divide both terms of the expression. In this case, the GCF is "x" since it is the highest common factor that both terms have.
Therefore, the GCF of 20x - 4 is "x."