There are seriously easier options
Our fingernails can get annoyingly long, but we trim them instead of having them cut off. The same should go for your cat. You can clip or file the claws down to an appropriate length or find a trainer who specializes in behavior modification. They can help you teach your cat to scratch a provided post or pad rather than your furniture. This way, you save money on buying a new couch and your cat gets to keep the claws nature intended her to have.
Organization like the ASPCA, the Best Friends Animal Society and The Paw Project oppose the inhumane practice of declawing cats, both large and small, due to the crippling effects it has on them and the loss of their ability to defend themselves. It can lead to permanent damage and pain for cats who are forced to undergo the procedure.
Please, before declawing your cat, consider other options that will allow your friend to stay intact and safe.