How to subtract vectors of different length(Euclidean distance)

I am trying to find euclidean distance between a vector C = [11,2;13,44;5,6] for every center C= [2,4;3,7].

Here I need to compare euclidean distance of every row of A with every row of C and store the index of C. I am trying not to use for loops. I am unable to subtract vectors of different lengths. How do I go about it?

NOTE: I can not use high level functions like pdist(). I need to do it by matrix manipulation