I have one other window in my home with the same latch so if you can help me identify the part number I would appreciate it.
Thanks for reaching out to us. Looks like you have an internal tilt latch here. Unfortunately, I can't seen enough of the original hardware to make a recommendation.
Internal tilt latches are composed of two components: the latch itself, which is under the top trim of the window sash, and the thumb lever, which is the only visible part in most circumstances and is what allows you to slide the latch back and forth.
In your case, you appear to be missing the thumb lever. We carry a selection of different sizes, which you can see here. This is a reasonable place to get started. However, keep in mind that the only way to match these up is to compare the size and spacing of the installation forks. That means you have to remove an undamaged version you still have and measure it.