Answer :

[tex]65|5\\13|13\\.\ 1|\\65=5\cdot\boxed{13}\\\\143|11\\.\ 13|13\\.\ \ 1|\\143=11\cdot\boxed{13}\\\\169|13\\.\ 13|13\\.\ \ 1|\\169=\boxed{13}\cdot13\\\\Therefore\ GCF(65;\ 143;\ 169)=\boxed{13}[/tex]

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