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Here are factor trees for 12 and 42:

12 - 2

- 6 - 2

- 3

42 - 2

- 21 - 3

- 7

The leaves in 12's factor tree are: 2, 2, and 3.

The leaves in 42's factor tree are: 2, 3, and 7.

The longest common sub-sequence of the leaf lists is: 2, 3.

Therefore, multiply 2 by 3 and we get that 6 is the gcf of 12 and 42.

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Q: How do you use factor trees to find the greatest common factor of 12 and 42?
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