What is the greatest common factor of 108 and 168?

Question

Hadley Cunningham · Accepted Answer

Step 1An alternative approach that does not require factoring both numbers first goes as follows:Divide the larger number by the smaller to give a quotient and remainder.If the remainder is zero then the smaller number is the GCF.Otherwise, repeat with the smaller number and the remainder.In our example:            168      108        =    1   with remainder 60            108      60        =    1   with remainder 48            60      48        =    1   with remainder 12            48      12        =    4   with remainder 0So the GCF is 12

Layla Velazquez · Accepted Answer

Step 1Factors of 108 are             {      1      ,      2      ,      3      ,      4      ,      6      ,      9      ,      12      ,      18      ,      27      ,      36      ,      54      ,      108      }      Factors of 168 are             {      1      ,      2      ,      3      ,      4      ,      6      ,      7      ,      8      ,      12      ,      14      ,      21      ,      24      ,      28      ,      42      ,      56      ,      84      ,      168      }      Common Factors are             {      1      ,      2      ,      3      ,      4      ,      6      ,      12      }      Hence Greatest Common Factor is 12

What is the greatest common factor of 108 and 168?

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