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The GCF of 6 and 15 is 3.

To find the GCF, list all of the factors.
6: 1, 2, 3, 6.
15: 1, 3, 5, 15.

Since 3 appears on both of the lists of factors, 3 is the GCF. 
[tex]6|2\\3|3\\1|\\6=2\times\fbox3\\\\15|3\\. 5|5\\.1|\\15=\fbox3\times5\\\\\huge\boxed{GCF(6;\ 15)=\fbox3}[/tex]