First numbers that belong to both sets:
1134,
1135,
1136,
1138,
1144,
1145,
1146,
1148,
1266,
1268,
1334,
1335,
1336,
1338,
1344,
1345,
1346,
1348,
1355,
1356,
1358,
1466,
1468,
1678,
1688,
2366,
2368,
2488,
2566,
2568,
2588,
3478,
3488,
3566,
3568,
3666,
3668,
3688,
3788,
4478,
4555,
4556,
4558,
4578,
4688,
4778,
5678,
7778,
11122,
11124,
11125,
11126,
11128,
11188,
11222,
11224,
11225,
11226,
11228,
11334,
11335,
11336,
11338,
11344,
11345,
11346,
11348,
11378,
11455,
11456,
11458,
11566,
11568,
11666,
11668,
12334,
12335,
12336,
12338,
12355,
12356,
12358,
12366,
12368,
12388,
12444,
12445,
12446,
12448,
12466,
12468,
12666,
12668,
12778,
13344,
13345,
13346,
13348,
13355,
13356,
13358,
13378,
13588,
13778,
14455,
14456,
14458,
14578,
14588,
14678,
15578,
16688,
16778,
17778,
18888,
22234,
22235,
22236,
22238,
22266,
22268,
22334,
22335,
22336,
22338,
22355,
22356,
22358,
22378,
22478,
22555,
22556,
22558,
22588,
22688,
22888,
23344,
23345,
23346,
23348,
23388,
23466,
23468,
23488,
23578,
24455,
24456,
24458,
24566,
24568,
24588,
24666,
24668,
24778,
25555,
25556,
25558,
25688,
25788,
26678,
27788,
28888,
33366,
33368,
33388,
33444,
33445,
33446,
33448,
33555,
33556,
33558,
33666,
33668,
33688,
33788,
34444,
34445,
34446,
34448,
34555,
34556,
34558,
34566,
34568,
34578,
34778,
35555,
35556,
35558,
35588,
35666,
35668,
35688,
35788,
35888,
36666,
36668,
37778,
38888,
44466,
44468,
44478,
44555,
44556,
44558,
44666,
44668,
44678,
45578,
45688,
45788,
46788,
47788,
55555,
55556,
55558,
55566,
55568,
55778,
56888,
66666,
66668,
66678,
66778,
66788,
77888,
111134,
111135,
111136,
111138,
111155,
111156,
111158,
111166,
111168,
111178,
111234,
111235,
111236,
111238,
111244,
111245,
111246,
111248,
111288,
111355,
111356,
111358,
111366,
111368,
111388,
111455,
111456,
111458,
111478,
111555,
111556,
111558,
111566,
111568,
111678,
111688,
111888,
112355,
112356,
112358,
112378,
112388,
112444,
112445,
112446,
112448,
112466,
112468,
112478,
112566,
112568,
112678,
112888.
Some larger examples :
5677888,
5678888,
5788888,
6666666,
6666668,
6666778,
6666788,
6667778,
6688888,
6777778,
6777788,
6777888,
6778888,
6788888,
6888888,
7777778,
7777788,
7777888,
7778888,
8888888.