Question

Amelia thinks of a number. Her number is a factor of both 18 and 12. Her number is odd. What is the largest number she could be thinking of?

Answer 1

Explanation:

First, Amelia thinks of a number that is a factor of both 18 and 12. This number is odd, so it can't be a whole number. Next, Amelia has to find the largest number that is a factor of both 18 and her chosen number. This number is 36.

Answer 2

3

Explanation:

You want the largest odd factor of both 18 and 12.

GCD

The greatest common divisor of both 18 and 12 is 6:

18 = 3·6

12 = 2·6

This is an even factor, which has two factors: 2 and 3. Only 3 is an odd factor of both 18 and 12.

The largest odd factor of both 18 and 12 is 3.

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