First numbers that belong to both sets:
1,
2,
3,
4,
7,
11,
12,
22,
24,
44,
77,
111,
112,
122,
124,
144,
212,
222,
224,
244,
312,
324,
412,
424,
444,
777,
1111,
1112,
1122,
1124,
1144,
1212,
1222,
1224,
1244,
1311,
1344,
1412,
1424,
1444,
1722,
1771,
2112,
2122,
2124,
2144,
2212,
2222,
2224,
2244,
2322,
2412,
2424,
2444,
2744,
2772,
3111,
3144,
3171,
3222,
3312,
3324,
3444,
3717,
4112,
4124,
4144,
4172,
4212,
4224,
4244,
4344,
4412,
4424,
4444,
7112,
7224,
7371,
7777,
11111,
11112,
11122,
11124,
11144,
11172,
11212,
11222,
11224,
11244,
11322,
11412,
11424,
11444,
11711,
12112,
12122,
12124,
12144,
12212,
12222,
12224,
12244,
12312,
12324,
12412,
12424,
12444,
12712,
14112,
14124,
14144,
14212,
14224,
14244,
14412,
14424,
14444,
17122,
17171,
17444,
17472,
17717,
17724,
21112,
21122,
21124,
21144,
21212,
21222,
21224,
21244,
21312,
21324,
21412,
21424,
21444,
22112,
22122,
22124,
22144,
22212,
22222,
22224,
22244,
22344,
22412,
22424,
22444,
22722,
23112,
23124,
23244,
23322,
23412,
23424,
23772,
24112,
24124,
24144,
24212,
24224,
24244,
24312,
24324,
24412,
24424,
24444,
24472,
24724,
27244,
27272,
27412,
41112,
41124,
41144,
41212,
41224,
41244,
41272,
41412,
41424,
41444,
42112,
42124,
42144,
42212,
42224,
42244,
42312,
42324,
42412,
42424,
42444,
43212,
43224,
43344,
44112,
44124,
44144,
44212,
44224,
44244,
44412,
44424,
44444,
44744,
44772,
47124,
47712,
71722,
71771,
72212,
72324,
72744,
72772,
73122,
73311,
73773,
74144,
74172,
74424,
77112,
77224,
77322,
77777,
111111,
111112,
111122,
111124,
111144,
111212,
111222,
111224,
111244,
111272,
111312,
111324,
111412,
111424,
111444,
112112,
112122,
112124,
112144,
112212,
112222,
112224,
112244,
112344,
112412,
112424,
112444,
114112,
114124,
114144,
114212,
114224,
114244,
114312,
114324,
114412,
114424,
114444,
114744,
114772,
117117,
117124,
117222,
117712,
121112,
121122,
121124,
121144,
121212,
121222,
121224,
121244,
121344,
121412,
121424.
Some larger examples :
744324,
744744,
744772,
747124,
747712,
771372,
771722,
771771,
772212,
772744,
772772,
773472,
773724,
774144,
774172,
774312,
774424,
777112,
777224,
777777.