Question

question
identify the greatest common factor of 20w and 28w.

Explanation:

Step1: Factor coefficients

Prime factors of 20: $20 = 2^2 \times 5$
Prime factors of 28: $28 = 2^2 \times 7$

Step2: Find common coefficient factor

The shared prime factor with the lowest exponent is $2^2 = 4$

Step3: Find common variable factor

Both terms have $w$, so the common variable factor is $w$

Step4: Multiply common factors

Multiply the common coefficient and variable factors.
$4 \times w = 4w$

Answer:

$4w$