First numbers that belong to both sets:
2,
5,
88,
124,
146,
188,
238,
246,
248,
268,
288,
336,
448,
556,
668,
1116,
1128,
1134,
1146,
1148,
1168,
1222,
1236,
1246,
1248,
1256,
1258,
1266,
1288,
1346,
1348,
1388,
1566,
1578,
1588,
1888,
2226,
2228,
2248,
2258,
2338,
2356,
2366,
2388,
2446,
2568,
2588,
2788,
3356,
3366,
3378,
3388,
3448,
3488,
3556,
3588,
3666,
3788,
3888,
4488,
4588,
4668,
4678,
4688,
5556,
5568,
5578,
5588,
5666,
5668,
5778,
5788,
6688,
6788,
7788,
11136,
11146,
11166,
11168,
11226,
11234,
11236,
11248,
11266,
11268,
11336,
11338,
11358,
11366,
11368,
11378,
11456,
11458,
11466,
11478,
11488,
11556,
11568,
11666,
11688,
12224,
12234,
12236,
12238,
12248,
12258,
12288,
12358,
12368,
12444,
12448,
12456,
12468,
12558,
12566,
12568,
12588,
12666,
12668,
12688,
12788,
12888,
13358,
13388,
13588,
13668,
13778,
13788,
14466,
14468,
14488,
14568,
14578,
14588,
14678,
14688,
15566,
15678,
15778,
16688,
16778,
22224,
22228,
22236,
22244,
22256,
22268,
22288,
22358,
22466,
22556,
22566,
22588,
22888,
23348,
23366,
23368,
23468,
23488,
23556,
23588,
23778,
24468,
24556,
24566,
24568,
24588,
24666,
24668,
25688,
27788,
28888,
33336,
33366,
33448,
33456,
33468,
33478,
33556,
33568,
33666,
33668,
33688,
33888,
34446,
34466,
34556,
34558,
34566,
34568,
34578,
34788,
34888,
35558,
35566,
35568,
35588,
35688,
35778,
36666,
37788,
37888,
38888,
44448,
44458,
44466,
44468,
44556,
44558,
44568,
44678,
44788,
45566,
45666,
45788,
46678,
46888,
47788,
47888,
48888,
55556,
55568,
55588,
55688,
55778,
55888,
56668,
56678,
58888,
66666,
66668,
66778,
66888,
67788,
67888,
77778,
77788,
111116,
111126,
111134,
111148,
111156,
111158,
111166,
111168,
111222,
111234,
111236,
111248,
111288,
111336,
111366,
111368,
111378,
111388,
111456,
111558,
111566,
111568,
111588,
111688,
111888,
112222,
112228,
112258,
112268,
112356,
112358,
112368,
112388,
112446,
112448,
112466,
112556,
112566,
112568,
113334,
113336,
113348,
113378.
Some larger examples :
555788,
555888,
557778,
557888,
566668,
566778,
566888,
567788,
577778,
577788,
577888,
588888,
666788,
667778,
667788,
668888,
677888,
678888,
777888,
788888.