Question

(a.) what is the GCF of 33 and 42 using prime factors?

Answer 1

$(a)\\33|\fbox3\\11|11\\.\ 1|\\---------\\42|2\\21|\fbox3\\.\ 7|7\\.\ 1|\\----------\\GCF(33;\ 42)=3$


$(b)\\2\underline{|72\ \ \ \ \ 30}\\.3\underline{|36\ \ \ \ \ 15}\\...\underline{|12\ \ \ \ \ \ 5}\\\\GCF(72;\ 30)=2\times3=6$


$(c)\\factors\ of\ 27:\ \fbox1;\ 3;\ 9;\ 27\\\\factors\ of\ 76:\ \fbox1;\ 2;\ 4;\ 19;\ 38;\ 76\\\\factors\ of\ 34:\ \fbox1;\ 2;\ 17;\ 34\\\\GCF(27;\ 76;\ 34)=1\\\\The\ numbers\ 27;\ 76\ and\ 34\ are\ coprime\ numbers.$