Question

find the gcf of the terms of the polynomial
$14z^5 - 70z^4 + 10z^3$
the greatest common factor is \boxed{}.

Explanation:

Step1: Find GCF of coefficients

The coefficients are 14, 70, 10.
Factors of 14: $1,2,7,14$
Factors of 70: $1,2,5,7,10,14,35,70$
Factors of 10: $1,2,5,10$
The greatest common factor is $2$.

Step2: Find GCF of variable terms

The variable terms are $z^5$, $z^4$, $z^3$.
The lowest exponent of $z$ is 3, so the GCF is $z^3$.

Step3: Combine GCFs

Multiply the GCF of coefficients and variables.
$2 \times z^3 = 2z^3$

Answer:

$2z^3$