[latex]Greatest\ common\ factor\ is\ the\ highest\ number\ by\ witch\ 69\ and\ 46\\can\ be\ divided\\\\ 69:3\\ 23:23\\\\46:2\\23:23 \\\\GCF=23\\\\Greatest\ common\ factor\ of\ 69\ and\ 46 \ is\ equal\ to\ 23. [/latex]

the answer is 23 69 =23x3 46=23x2