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Answer:

C

Step-by-step explanation:

Everything in choice A is divisible by 2

Everything in choice B is divisible by 3

9 and 16 have no common factors, therefore choice C is your answer.

This is about greatest Common factor (G.C.F).

Option C does not have a greatest common factor.

  • Greatest common factor between 2 or more numbers is simply the greatest factor that is common to all the numbers.

  • Option A; 2 x 2 + 8 x + 4

In this, we can see that 2 is the only common factor between all the numbers.

Thus, the GCF = 2.

So this has a GCF

  • Option B: 3x² - 12

Factors of 3 are 1, 3

Factors or 12 are; 1, 2, 3, 4, 6, 12

The highest common factor is 3.

Thus, this has GCF.

  • Option C; 9 × 2 - 16

The factors of 9 are; 1, 3, 9

Factors of 2 are; 1, 2

Factors of 16 are; 1, 2, 4, 8, 16

There is no highest common factor here as 1 is not considered to be a highest common factor even though it is a factor.

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