I want the captions of my figures and table to have the same size as \footnotesize. Is there something to put in the preambule of my document to do this?
Use the caption package to set the font key-value to footnotesize:

\documentclass{article}
\usepackage{caption}
\captionsetup{font=footnotesize}
\begin{document}
Some regular text set in \verb|\normalsize|.
\begin{table}[t]
\caption{A table using \texttt{\string\footnotesize}.}
\end{table}
\begin{figure}[t]
\caption{A figure using \texttt{\string\footnotesize}.}
\end{figure}
\end{document}
It is also possible to adjust the label and text formats individually for figures and tables separately. However, consistency is a better option here.
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