Question

find the greatest common factor of $15n^2$ and $20y$.

Explanation:

Step1: Factor 15n²

Factor \( 15n^2 \) into prime factors: \( 15n^2 = 3 \times 5 \times n \times n \).

Step2: Factor 20y

Factor \( 20y \) into prime factors: \( 20y = 2 \times 2 \times 5 \times y \).

Step3: Identify common factors

The common prime factor between \( 15n^2 \) and \( 20y \) is 5 (since there are no common variables between \( n^2 \) and \( y \)).

Answer:

\( 5 \)