Depends on your production area. For low risk:
I would always put on hair covering first but it's not a massive issue.
Remove shoes.
Put on low risk shoes (depending on risk they may be wearable across site).
Wash and dry hands.
Use hand sanitiser if mandated as a result of risk. Not automatically required if your hand wash is antibacterial and risk dependent (hand sanitisers can actually reduce compliance as since covid many members of staff see it as equivalent to hand washing and do not do the full process.)
Enter factory.
There may be a boot wash need but I would do that on the way out of the factory and only after coat removal if it's to be reworn.
For high care or high risk:
Put on hair covering.
Remove shoes.
Swing legs over the barrier (high care and high risk should have a barrier which is sealed to the floor to prevent pathogenic ingress).
Put on high risk / care captive footwear.
Wash hands.
Put on coat.
Wash and sanitise hands.
Enter area.
On the way out, coat should be removed and boots cleaned if necessary.