Find the largest factor that is common to both $27$ and $36.$

3

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8

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9

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18

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Solution

The correct option is C $9$
Factors of $27$ are $1, 3, 9$ and $27.$

Factors of $36$ are $1, 2, 3, 4, 6, 9, 12, 18 & 36.$

The common factors of $27$ and $36$ are $3$ and $9.$
The largest number among these is $9.$

This is called the Greatest Common Factor or Greatest Common Divisor of $27$ and $36.$

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