36852

First I found the factors of the smallest number. They were 1, 11, 13, 143. I then checked 143 with the second number and it didn't work as a factor. Then I checked 13, and it still didn't work. Then I thought it might be a prime number, but I checked 11 and it was a factor of the second number. Then I checked the third number to see if it worked and it did as well. Finally, I checked the fourth and it was a multiple of 11 as well. So 11 is the biggest answer.