Find the greatest common factor of 8, 18, and 70.

Question

Mathematics

Audrey

20 September, 04:23

Find the greatest common factor of 8, 18, and 70.

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Answers (1)

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Chucky · Answer 1

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Step-by-step explanation:

Find the greatest common factor of 8, 18, and 70.

Since we are looking for the Greatest Common Factor of the numbers given, we begin by factoring the numbers. It is usually easiest to start with the smallest number. Also, if there is a number that has obvious factors. In our case, satisfies both of these:

8=2⋅2⋅2 In fact,

8 only has one unique factor! If there is to be a common factor (other than

1) it must be

2. We now need to check that both

18 and 70 have 2 as a factor:

18=2⋅9

70=2⋅35 Therefore, 2 is the GCF of 8, 18 and 70.