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The greatest prime factor of 144 is x

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Bunuel
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The greatest prime factor of 144 is x [#permalink] New post   26 Nov 2017, 09:15
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The greatest prime factor of 144 is x
The greatest prime factor of 96 is y

Quantity A
Quantity B
x
y



A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

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C
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Re: The greatest prime factor of 144 is x [#permalink] New post   30 Nov 2017, 05:54
Bunuel wrote:
The greatest prime factor of 144 is x
The greatest prime factor of 96 is y

Quantity A
Quantity B
x
y



A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given




144 can be written as =\(2^4 X 3^2\)

96 can be written as =\(3 X 2^5\)

In both the case the greatest prime factor is = 3 . SO option C
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The greatest prime factor of 144 is x [#permalink] New post   27 Oct 2018, 16:26
Expert Reply
The greatest prime factor of 144 is x

The greatest prime factor of 96 is y

Quantity A
Quantity B
x
y


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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GreenlightTestPrep
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Re: The greatest prime factor of 144 is x [#permalink] New post   02 Nov 2018, 07:16
2
Carcass wrote:
The greatest prime factor of 144 is x

The greatest prime factor of 96 is y

Quantity A
Quantity B
x
y


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


This looks like a job for prime factorization!

144 = (2)(2)(2)(2)(3)(3)
The greatest prime factor = x = 3

96 = (2)(2)(2)(2)(2)(3)
The greatest prime factor = y = 3

We get:
Quantity A: 3
Quantity B: 3

Answer: C

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The greatest prime factor of 144 is x [#permalink] New post   03 Jan 2022, 15:36
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Expert Reply
The greatest prime factor of 144 is x
The greatest prime factor of 96 is y

Quantity A
Quantity B
x
y



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Kudos for the right answer and explanation
See more on this topic Numbers Comprehension
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Re: The greatest prime factor of 144 is x [#permalink] New post   03 Jan 2022, 20:14
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Qt A

Factors of \(144 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 18 , 24 , 36 , 48 , 72 , 144\)

Greatest prime factor \(= 3\)

Qt B

Factors of \(96 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 , 32 , 48 , 96\)

Greatest prime factor \(= 3\)

Qt A = Qt B

Answer C
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The greatest prime factor of 144 is x The greatest prime factor of 96 [#permalink] New post   20 Sep 2022, 21:27
Expert Reply
The greatest prime factor of 144 is x

The greatest prime factor of 96 is y

Quantity A
Quantity B
x
y



A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given

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Re: The greatest prime factor of 144 is x [#permalink] New post   09 Jul 2024, 21:24
After prime factorization 3 is the highest prime factor for both A and B
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Re: The greatest prime factor of 144 is x [#permalink] New post   12 Jul 2024, 00:58
lol I thought Equal option is B and chose it immediately,

Right option is C.
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Re: The greatest prime factor of 144 is x [#permalink]
12 Jul 2024, 00:58
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