Subfigure: error "Missing number, treated as zero"

This is how you should be using it.

\documentclass{article}
\usepackage{graphicx,subfigure}
\begin{document}
\begin{figure}
\centering     %%% not \center
\subfigure[Figure A]{\label{fig:a}\includegraphics[width=60mm]{example-image-a}}
\subfigure[Figure B]{\label{fig:b}\includegraphics[width=60mm]{example-image-b}}
\caption{my caption}
\end{figure}
\end{document}

Note: subfigure is outdated and new one is subfig which introduces subfloat command. You may consider using subfig instead of subfigure.

I believe you're using the subcaption package. The problem you have is that as a second argument to \begin{subfigure} you should tell it how wide you want your figure to be; e.g.

\begin{figure} \centering
    \begin{subfigure}[b]{\linewidth}
        \includegraphics[width=60mm]{a}
        \label{fig:a}
    \end{subfigure} %

    \begin{subfigure}[b]{\linewidth}    
        \includegraphics[width=60mm]{b}
        \label{fig:b}    
    \end{subfigure} 
    \caption{my caption}
\end{figure}

If you have further problems you can refer to the package documentation.

Hope that helps!