<PRE><B>Question 215243</B>
find the greatest number that exactly devides 840 and 2296 ?
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Procedure:
Find the prime-factor form of each of those numbers.
Then find the factor cluster that is common to the two numbers.
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840 = 2*420= 2^2*210= 2^3*105 = 2^3*5*21 = 2^3*3*5*7
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2296 = 2*1148=2^2*574=2^3*287 = 2^3*7*41
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It looks like 2^3*7 is the greatest common factor cluster.
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Answer 8*7 = 56
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Cheers,
Stan H.</PRE>