Question

find the gcf for the list.
-10x^{3}, 6x^{4}
the gcf is \square

Explanation:

Step1: Factor coefficients

Prime factors: $-10 = -2 \times 5$, $6 = 2 \times 3$
GCF of coefficients: $2$

Step2: Factor variable terms

Variable factors: $x^3 = x \times x \times x$, $x^4 = x \times x \times x \times x$
GCF of variables: $x^3$

Step3: Multiply GCF components

Multiply coefficient and variable GCFs: $2 \times x^3$

Answer:

$2x^3$