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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 6 Months Ended 12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2020
Dec. 31, 2019
Jun. 30, 2020
Allowance for loan losses:          
Balance, beginning of year $ 6,506 $ 6,277 $ 6,234 $ 6,328 $ 6,328
Provision charged to expense (49) (30) 266 (84) 128
Losses charged off (14) (26) (71) (41) (268)
Recoveries 6 1 20 19 46
Balance, end of period 6,449 6,222 6,449 6,222 6,234
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 6,449 6,222 6,449 6,222 6,234
Loans:          
Ending balance 513,298 496,397 513,298 496,397 515,887
Ending balance: individually evaluated for impairment 1,389 1,550 1,389 1,550 1,660
Ending balance: collectively evaluated for impairment 511,909 494,847 511,909 494,847 514,227
One- to four-family [Member]          
Allowance for loan losses:          
Balance, beginning of year 1,033 990 1,044 1,031 1,031
Provision charged to expense (24) 14 (20) (30) 50
Losses charged off 0 (13) (15) (13) (40)
Recoveries 2 0 2 3 3
Balance, end of period 1,011 991 1,011 991 1,044
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 1,011 991 1,011 991 1,044
Loans:          
Ending balance 123,493 127,679 123,493 127,679 128,876
Ending balance: individually evaluated for impairment 1,335 1,470 1,335 1,470 1,336
Ending balance: collectively evaluated for impairment 122,158 126,209 122,158 126,209 127,540
Multi-family [Member]          
Allowance for loan losses:          
Balance, beginning of year 1,741 1,602 1,514 1,642 1,642
Provision charged to expense 3 (40) 230 (80) (128)
Losses charged off 0 0 0 0 0
Recoveries 0 0 0 0 0
Balance, end of period 1,744 1,562 1,744 1,562 1,514
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 1,744 1,562 1,744 1,562 1,514
Loans:          
Ending balance 105,836 102,756 105,836 102,756 96,195
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 105,836 102,756 105,836 102,756 96,195
Home equity lines of credit [Member]          
Allowance for loan losses:          
Balance, beginning of year 82 90 87 89 89
Provision charged to expense (3) 0 (8) 1 (2)
Losses charged off 0 0 0 0 0
Recoveries 0 0 0 0 0
Balance, end of period 79 90 79 90 87
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 79 90 79 90 87
Loans:          
Ending balance 7,858 8,867 7,858 8,867 8,551
Ending balance: individually evaluated for impairment 0 18 0 18 15
Ending balance: collectively evaluated for impairment 7,858 8,849 7,858 8,849 8,536
Construction [Member]          
Allowance for loan losses:          
Balance, beginning of year 85 204 240 213 213
Provision charged to expense 45 13 (110) 4 27
Losses charged off 0 0 0 0 0
Recoveries 0 0 0 0 0
Balance, end of period 130 217 130 217 240
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 130 217 130 217 240
Loans:          
Ending balance 13,870 18,749 13,870 18,749 22,042
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 13,870 18,749 13,870 18,749 22,042
Commercial [Member]          
Allowance for loan losses:          
Balance, beginning of year 1,874 1,657 1,706 1,623 1,623
Provision charged to expense (92) 28 76 62 83
Losses charged off 0 0 0 0 0
Recoveries 0 0 0 0 0
Balance, end of period 1,782 1,685 1,782 1,685 1,706
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 1,782 1,685 1,782 1,685 1,706
Loans:          
Ending balance 152,448 148,299 152,448 148,299 145,113
Ending balance: individually evaluated for impairment 0 6 0 6 0
Ending balance: collectively evaluated for impairment 152,448 148,293 152,448 148,293 145,113
Commercial [Member]          
Allowance for loan losses:          
Balance, beginning of year 1,624 1,664 1,583 1,659 1,659
Provision charged to expense 20 (54) 81 (63) 84
Losses charged off (11) 0 (40) 0 (191)
Recoveries 3 0 12 14 31
Balance, end of period 1,636 1,610 1,636 1,610 1,583
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 1,636 1,610 1,636 1,610 1,583
Loans:          
Ending balance 101,528 82,692 101,528 82,692 107,581
Ending balance: individually evaluated for impairment 51 48 51 48 304
Ending balance: collectively evaluated for impairment 101,477 82,644 101,477 82,644 107,277
Consumer [Member]          
Allowance for loan losses:          
Balance, beginning of year 67 70 60 71 71
Provision charged to expense 2 9 17 22 14
Losses charged off (3) (13) (16) (28) (37)
Recoveries 1 1 6 2 12
Balance, end of period 67 67 67 67 60
Ending balance: individually evaluated for impairment 0 0 0 0 0
Ending balance: collectively evaluated for impairment 67 67 67 67 60
Loans:          
Ending balance 8,265 7,355 8,265 7,355 7,529
Ending balance: individually evaluated for impairment 3 8 3 8 5
Ending balance: collectively evaluated for impairment $ 8,262 $ 7,347 $ 8,262 $ 7,347 $ 7,524