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The prime factorizations of 54 and 72 are shown below.

Prime factorization of 54: 2, 3, 3, 3
Prime factorization of 72: 2, 2, 2, 3, 3

Using the prime factorizations, what is the greatest common factor of 54 and 72?
2 X 3
2 X 3 ´X3
2 X2 X3 X 3
2 X2 X2X3 X 3 X 3

P.s Those X stands For Multiplying

Respuesta :

Knigerian
They share a few numbers together so you would multiply the number they have in common with the actual number
So both of them have one 2 and two 3's so the answer is:
2 X 3 X 3

The greatest common factor of 54 and 72 is 2 × 3 × 3. The correct option is the second option - 2 X 3 X3

Greatest common factor (GCF)

From the question, we are to determine the greatest common factor of 54 and 72

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

From the given prime factors

Prime factorization of 54: 2, 3, 3, 3

Prime factorization of 72: 2, 2, 2, 3, 3

The GCF will be the product of the prime factors common to both of the numbers

(NOTE: The common prime factors are bolded)

Hence, the greatest common factor of 54 and 72 is 2 × 3 × 3. The correct option is the second option - 2 X 3 X3

Learn more on Greatest common factors here: https://brainly.com/question/3009754

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