Finding the Greatest Common Divisor Using Prime Factorisation

Finding the Greatest Common Divisor Using Prime Factorisation

Secondary 1

The numbers \(87750\), \(28000\)and \(175175\) written as the products of their prime factors, are\(87750=2\times {{3}^{3}}\times {{5}^{3}}\times 13\), \(28000={{2}^{5}}\times {{5}^{3}}\times 7\) and \(175175={{5}^{2}}\times {{7}^{2}}\times 11\times 13\).

Hence, find the greatest whole number that will divide \(87750\), \(28000\) and \(175175\) exactly.

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Answer:\(25\)

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