Remove all non-matching rows from two differently-sized data frames

Question

I have two dataframes with different row counts.

df1 has the order_id and problems

order_id | problems
123      | broken
342      | torn
593      | wrong_item

df2 has the problems and their count

count    | problems
12       | broken
59       | torn
81       | worn-out

I need to remove all rows from df1 that do not match the problems in df2. I don't really care about the count.

I have tried the following:

df = df1[df1['problems'].isin(df2['problems')]

and

df_matching_rows = pd.merge(df1, df2, how='inner',indicator=True, on='problems')

Both of these do not work. The code runs and gives an output but when I check it, there are problem values in df1 that are present in df2 but not showing. Can someone please help?