Find the GCF of 20x − 4

Question

.(1 point)

Answer 1

To find the greatest common factor (GCF) of the expression \(20x - 4\), we can look for the common factors of each term in the expression.

1. Identify the coefficients: The coefficients are 20 and -4.

2. Find the GCF of the coefficients:

   • The factors of 20 are: \(1, 2, 4, 5, 10, 20\).
   • The factors of -4 are: \(1, 2, 4\).
   • The greatest common factor among these is 4.

3. Identify the variable part: The only variable present is \(x\) in the first term. The second term has no variable.

Since the second term doesn’t contain \(x\), we only consider the GCF of the numerical coefficients for factoring.

4. Factor the expression: We can factor out 4 from the expression: \[ 20x - 4 = 4(5x - 1) \]

Therefore, the GCF of \(20x - 4\) is 4.