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Find the GCF (greatest common factor) of 84 and 36. Be sure to show your work. Then, using complete sentences, explain what your answer means.

Respuesta :

Answer:

The GCF is 12

list the factors of 84 and 36

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

1, 2, 3, 4, 6, 9, 12, 18, 36

both numbers have 1,2,3,4,6,9 and 12 as a common factor but 12 is the biggest so it is the gcf

GCF means both numbers have 12 as their biggest factor they have in common.

Hope this helps

Step-by-step explanation:

mhanifa

Answer:

12

Step-by-step explanation:

The task is to find the greatest common factor of 84 and 36

First we find the prime factors of each number:

  • 84= 2 × 2 × 3 × 7
  • 36= 2 × 2 × 3 × 3

Greatest common factor is the product of common factors of the given numbers

As per above, 84 and 36 have common factors of 2×2×3=12

So answer is 12

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