Question

find the greatest number that will exactly divide 840and 2296​

Answer 1

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Find the prime-factor form of each of

those numbers.

Then find the factor cluster that is

common to the two numbers.

840 = 2*420

= 2^2*210

= 2^3*105

= 2^3*5*21

= 2^3*3*5*7

2296 = 2*1148

=2^2*574

=2^3*287

= 2^3*7*41

It looks like 2^3*7 is the greatest

common factor cluster.

Answer 8*7 = 56

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$\huge\color{Red}{Answer~is~56}$

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