document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=8144>Question 8144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the greatest common factor of all two-digit palindromes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #4525 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=4525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, since the two-digit palindromes are:\r<BR>\n" );
document.write( "\n" );
document.write( "11, 22, 33, 44, 55, 66, 77, 88, 99 and each one of these is a multiple of 11, I'd say that 11 is the GCF of all of them. Let's have a look at the prime factors:\r<BR>\n" );
document.write( "\n" );
document.write( "11 = 1 X 11<BR>\n" );
document.write( "22 = 2 X 11<BR>\n" );
document.write( "33 = 3 X 11<BR>\n" );
document.write( "44 = 2 X 2 X 11<BR>\n" );
document.write( "55 = 5 X 11<BR>\n" );
document.write( "66 = 2 X 3 X 11<BR>\n" );
document.write( "77 = 7 X 11<BR>\n" );
document.write( "88 = 2 X 2 X 2 X 11<BR>\n" );
document.write( "99 = 3 X 3 X 11\r<BR>\n" );
document.write( "\n" );
document.write( "So you can see that 11 is the GFC. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );