[tex]Greatest\ common\ factor\ is\ the\ highest\ number\ by\ witch\ 96\ and\ 144\\can\ be\ divided\\\\96:2\\48:2\\24:2\\12:2\\6:2\\3:3
\\\\144:2\\72:2\\36:2\\18:2\\9:3\\3:3\\\\GCF=2^4*3=16*3=48\\\\Greatest\ common\ factor\ of\ 96\ and\144 \ is\ equal\ to\ 48.
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