What is the greatest common factor of 6930 and 288?

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Solution

The correct option is D 18
6930 = 231 × 30 = 3 × 77 × 3 × 2 × 5 = 3 × 7 × 11 × 3 × 2 × 5 = 2 × $3^{2}$ × 5 × 7 × 11

288 = 2 × 144 = 2 × 12 × 12 = 2 × 2 × 2 × 3 × 2 × 2 × 3 = $2^{5}$ × $3^{2}$

HCF = 2 × $3^{2}$ = 2 × 9 = 18

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