document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53043>Question 53043</A>: <I><SPAN STYLE=\"word-break: break-all;\">      Two positive integers M and N are defined to be relatively prime if GCF(M, N) = 1. Which two pairs are numbers below are relatively prime?\r<BR>\n" );
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document.write( "  a. 17 and 51    <BR>\n" );
document.write( "  b. 6 and 25    <BR>\n" );
document.write( "  c. 18 and 45    <BR>\n" );
document.write( "  d. None of the above. In order for two numbers to be relatively prime, at least one of them has to be prime <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854291 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53937)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854291\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Divisibility_and_Prime_Numbers/53043: Two positive integers M and N are defined to be relatively prime <BR>\n" );
document.write( "if GCF(M, N) = 1. Which two pairs are numbers below are relatively prime?<BR>\n" );
document.write( "a. 17 and 51<BR>\n" );
document.write( "b. 6 and 25<BR>\n" );
document.write( "c. 18 and 45<BR>\n" );
document.write( "d. None of the above. In order for two numbers to be relatively prime, at least one of them has to be prime<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The answer in the post by @consc198 is &nbsp;FATALLY &nbsp;WRONG.\r<BR>\n" );
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document.write( "The pair (17,51) has GCF (Greatest Common Factor) of 17, so these numbers are NOT relatively prime.\r<BR>\n" );
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document.write( "The pair (6,25) has GCF (Greatest Common Factor) of 1, so these numbers are relatively prime.\r<BR>\n" );
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document.write( "The pair (18,45) has GCF (Greatest Common Factor) of 9, so these numbers are NOT relatively prime.\r<BR>\n" );
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document.write( "Thus of the three given pairs of numbers, only one pair has relatively prime companions. <BR>\n" );
document.write( "This pair is option (b)\r<BR>\n" );
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document.write( "Notice that the question is posed/worded incorrectly in the problem: <BR>\n" );
document.write( "it asks \"which two pairs below are relatively prime?\",<BR>\n" );
document.write( "while there is ONLY ONE such pair among the listed.\r<BR>\n" );
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