Question

find the greatest common factor of $13x^4$ and $12x^3$.

Explanation:

Step1: Analyze coefficients

The coefficients are 13 and 12. The factors of 13 are 1, 13; factors of 12 are 1, 2, 3, 4, 6, 12. The GCF of 13 and 12 is 1.

Step2: Analyze variables

For the variable part \(x^4\) and \(x^3\), the GCF is the lowest power, so \(x^3\).

Step3: Combine results

Multiply the GCF of coefficients and variables: \(1\times x^3 = x^3\).

Answer:

\(x^3\)