If HCF of `144` and `180` is expressed in the form `13m-16`. Find the value of `m`.

Explanation

To solve the problem, we need to find the HCF (Highest Common Factor) of the numbers 144 and 180, express it in the form of \(13m - 16\), and then find the value of \(m\).

### Step-by-Step Solution:

1. **Find the prime factorization of 144 and 180:**
- For 144:
\[
144 = 2 \times 2 \times 2 \times 2 \times 3 \times 3 = 2^4 \times 3^2
...