ID Request

Hi everyone, I recently got a few juvenile succulents and I'm new to keeping them. After days of combing through pictures and databases on the internet, I'm quite certain that these two are Mammillarias, but could anyone confirm on their exact species?

1. Mammillaria vetula ssp. gracilis ?



Another shot of it in bloom



2. Mammillaria polythele ?




Thanks.
- Kayden -

Hi Kayden,

Your spot on. Only to add that your m. vetula looks like the horticultural hybrid " snow cap "