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Loans and Allowance for Loan Losses - Allowance for Loan Losses and Recorded Investment in Loans Based on Portfolio Segment and Impairment Method (Detail) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Jun. 30, 2020
Allowance for loan losses:      
Balance, beginning of year $ 6,234 $ 6,328 $ 6,328
Provision charged to expense 315 (54) 128
Losses charged off (57) (15) (268)
Recoveries 14 18 46
Balance, end of period 6,506 6,277 6,234
Ending balance: individually evaluated for impairment 0 19 0
Ending balance: collectively evaluated for impairment 6,506 6,258 6,234
Loans:      
Ending balance 525,033 496,903 515,887
Ending balance: individually evaluated for impairment 1,336 1,813 1,660
Ending balance: collectively evaluated for impairment 523,697 495,090 514,227
One- to four-family [Member]      
Allowance for loan losses:      
Balance, beginning of year 1,044 1,031 1,031
Provision charged to expense 4 (44) 50
Losses charged off (15) 0 (40)
Recoveries 0 3 3
Balance, end of period 1,033 990 1,044
Ending balance: individually evaluated for impairment 0 13 0
Ending balance: collectively evaluated for impairment 1,033 977 1,044
Loans:      
Ending balance 125,574 126,152 128,876
Ending balance: individually evaluated for impairment 1,277 1,702 1,336
Ending balance: collectively evaluated for impairment 124,297 124,450 127,540
Multi-family [Member]      
Allowance for loan losses:      
Balance, beginning of year 1,514 1,642 1,642
Provision charged to expense 227 (40) (128)
Losses charged off 0 0 0
Recoveries 0 0 0
Balance, end of period 1,741 1,602 1,514
Ending balance: individually evaluated for impairment 0 0 0
Ending balance: collectively evaluated for impairment 1,741 1,602 1,514
Loans:      
Ending balance 106,886 105,548 96,195
Ending balance: individually evaluated for impairment 0 0 0
Ending balance: collectively evaluated for impairment 106,886 105,548 96,195
Home equity lines of credit [Member]      
Allowance for loan losses:      
Balance, beginning of year 87 89 89
Provision charged to expense (5) 1 (2)
Losses charged off 0 0 0
Recoveries 0 0 0
Balance, end of period 82 90 87
Ending balance: individually evaluated for impairment 0 0 0
Ending balance: collectively evaluated for impairment 82 90 87
Loans:      
Ending balance 8,147 8,897 8,551
Ending balance: individually evaluated for impairment 0 19 15
Ending balance: collectively evaluated for impairment 8,147 8,878 8,536
Construction [Member]      
Allowance for loan losses:      
Balance, beginning of year 240 213 213
Provision charged to expense (155) (9) 27
Losses charged off 0 0 0
Recoveries 0 0 0
Balance, end of period 85 204 240
Ending balance: individually evaluated for impairment 0 0 0
Ending balance: collectively evaluated for impairment 85 204 240
Loans:      
Ending balance 10,050 17,267 22,042
Ending balance: individually evaluated for impairment 0 0 0
Ending balance: collectively evaluated for impairment 10,050 17,267 22,042
Commercial [Member]      
Allowance for loan losses:      
Balance, beginning of year 1,706 1,623 1,623
Provision charged to expense 168 34 83
Losses charged off 0 0 0
Recoveries 0 0 0
Balance, end of period 1,874 1,657 1,706
Ending balance: individually evaluated for impairment 0 0 0
Ending balance: collectively evaluated for impairment 1,874 1,657 1,706
Loans:      
Ending balance 157,096 146,500 145,113
Ending balance: individually evaluated for impairment 0 16 0
Ending balance: collectively evaluated for impairment 157,096 146,484 145,113
Commercial [Member]      
Allowance for loan losses:      
Balance, beginning of year 1,583 1,659 1,659
Provision charged to expense 61 (9) 84
Losses charged off (29) 0 (191)
Recoveries 9 14 31
Balance, end of period 1,624 1,664 1,583
Ending balance: individually evaluated for impairment 0 0 0
Ending balance: collectively evaluated for impairment 1,624 1,664 1,583
Loans:      
Ending balance 109,182 84,825 107,581
Ending balance: individually evaluated for impairment 55 55 304
Ending balance: collectively evaluated for impairment 109,127 84,770 107,277
Consumer [Member]      
Allowance for loan losses:      
Balance, beginning of year 60 71 71
Provision charged to expense 15 13 14
Losses charged off (13) (15) (37)
Recoveries 5 1 12
Balance, end of period 67 70 60
Ending balance: individually evaluated for impairment 0 6 0
Ending balance: collectively evaluated for impairment 67 64 60
Loans:      
Ending balance 8,098 7,714 7,529
Ending balance: individually evaluated for impairment 4 21 5
Ending balance: collectively evaluated for impairment $ 8,094 $ 7,693 $ 7,524