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compare the two integers 12 and 16. what are the gcf (greatest common f…

Question

compare the two integers 12 and 16.

what are the gcf (greatest common factor) and their shared prime factors?

select all that apply.

select all that apply
a 4
b 6
c 8
d 2, 3
e 2, 2
f 2, 4

Explanation:

Find the prime factorizations

$$ LATEXBLOCK0 $$

Identify shared prime factors

$$ \text{Shared prime factors} = 2, 2 $$

Determine the greatest common factor

$$ \text{GCF} = 2 \times 2 = 4 $$

Answer:

  • (A) 4 (Correct answer)
  • (B) 6
  • (C) 8
  • (D) 2, 3
  • (E) 2, 2 (Correct answer)
  • (F) 2, 4