We note that 105 ends in '5' , so it will divide by '5'
Hence
5)105 = 21
7)21 = 3
3)3 = 1
NB We reduce the factoring division to '1'.
The factor tree is 3,5,& 7.
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it is ^ ^ 21 5 ^ 7 3
The greatest common factor of 105 and 132 is 3.
The greatest common factor of 105 and 147 is 21
The greatest common factor of 105, 126, and 210 is 21
The greatest common factor of 45 and 105 is 15.