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Difficulty:
35%
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Question Stats:
66% (01:32) correct
34%
(01:55)
wrong
based on 449
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For all integers p, <<p>> is the product of p's distinct prime factors. What is the greatest common factor of <<24>> and <<54>>?
(A) <<2>>
(B) <<3>>
(C) <<8>>
(D) <<12>>
(E) <<14>>
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madgmat2019
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<<24>> = 2^3 * 3=6
<<54>> = 3^3 * 2=6
Hcf of 6and6 is 6
The only option with a multiple of 6 is 12
OA :D
Posted from my mobile device
<<54>> = 3^3 * 2=6
Hcf of 6and6 is 6
The only option with a multiple of 6 is 12
OA :D
Posted from my mobile device
For all integers p, <<p>> is the product of p's distinct prime factors. What is the greatest common factor of <<24>> and <<54>>?
<<24>>= 6( as 2&3 are distinct prime factors)
<<54>>= 6( as 2&3 are distinct prime factors)
GCD(6,6) is 6.
Eliminating answer choices:
(A) <<2>>=2
(B) <<3>>=3
(C) <<8>>=2
(D) <<12>>=2*3=6. Correct
(E) <<14>> =2*7=14.
<<24>>= 6( as 2&3 are distinct prime factors)
<<54>>= 6( as 2&3 are distinct prime factors)
GCD(6,6) is 6.
Eliminating answer choices:
(A) <<2>>=2
(B) <<3>>=3
(C) <<8>>=2
(D) <<12>>=2*3=6. Correct
(E) <<14>> =2*7=14.
For all integers p, <<p>> is the product of p's distinct prime factors. What is the greatest common factor of <<24>> and <<54>>?
(A) <<2>>
(B) <<3>>
(C) <<8>>
(D) <<12>>
(E) <<14>>
\(<<24>> = 2^3 * 3\)
\(<<54>> = 2 * 3^3\)
What i understood is that <<24>> must be a multiple of distinct prime numbers, so each prime must occur only one and not a multiple of multiple times of a prime number.
For example let a number is 28
So 28 = 2^2 * 7
thus <<28>> = 7 * 2 = 14.
Is my understanding is correct ??
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(A) <<2>>
(B) <<3>>
(C) <<8>>
(D) <<12>>
(E) <<14>>
\(<<24>> = 2^3 * 3\)
\(<<54>> = 2 * 3^3\)
What i understood is that <<24>> must be a multiple of distinct prime numbers, so each prime must occur only one and not a multiple of multiple times of a prime number.
For example let a number is 28
So 28 = 2^2 * 7
thus <<28>> = 7 * 2 = 14.
Is my understanding is correct ??
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Archit3110
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greatest common factor of <<24>> and <<54>>
6, 6
answer option shall have prime factors of 2,3
IMO D; 12
For all integers p, <<p>> is the product of p's distinct prime factors. What is the greatest common factor of <<24>> and <<54>>?
(A) <<2>>
(B) <<3>>
(C) <<8>>
(D) <<12>>
(E) <<14>>
6, 6
answer option shall have prime factors of 2,3
IMO D; 12
For all integers p, <<p>> is the product of p's distinct prime factors. What is the greatest common factor of <<24>> and <<54>>?
(A) <<2>>
(B) <<3>>
(C) <<8>>
(D) <<12>>
(E) <<14>>
Distinct prime factors of <<24>> is 2 & 3. There <<24>>=6
Similarly, distinct prime factors of <<54>> is 2& 3. Therefore <<54>>= 6.
We notice that all answer choices are in the form of <<p>>. We need an answer that has distinct prime factors as 2&3 only.
Of the answer choices, <<12>> = 6
Therefore, answer is D.
Similarly, distinct prime factors of <<54>> is 2& 3. Therefore <<54>>= 6.
We notice that all answer choices are in the form of <<p>>. We need an answer that has distinct prime factors as 2&3 only.
Of the answer choices, <<12>> = 6
Therefore, answer is D.
Quote:
pfactors(24)=(12*2…2^2*3*2…2^3*3); distinctpfactors(24)=(2,3); <<24>>=(2*3)=6
pfactors(54)=(6*9…2*3*3^2…2*3^3); distinctpfactors(54)=(2,3); <<54>>=(2*3)=6
gcf(6,6)=6; <<12>>: pfactors(12)=(2^2*3); dpfactors(12)=(2*3); <<12>>=(2*3)=6
Answer (D)
For all integers p, <<p>> is the product of p's distinct prime factors. What is the greatest common factor of <<24>> and <<54>>?
Distinct prime factors of <<24>> = 6 (2,3)
Distinct prime factors of <<54>> = 6 (2,3)
GCF of <<24>> and <<54>> = 6
(A) <<2>> = 2,
(B) <<3>> = 3
(C) <<8>> = 2
(D) <<12>> = 6
(E) <<14>> = 7
Imo. D
Distinct prime factors of <<24>> = 6 (2,3)
Distinct prime factors of <<54>> = 6 (2,3)
GCF of <<24>> and <<54>> = 6
(A) <<2>> = 2,
(B) <<3>> = 3
(C) <<8>> = 2
(D) <<12>> = 6
(E) <<14>> = 7
Imo. D
24=2^3 * 3
hence <<24>> = 2*3=6
54=2 * 3^3
hence <<54>>=2*3=6
The GCF of <<24>> and <<54>> = 6
This is equivalent to <<12>>=2*3=6
The answer is therefore D.
hence <<24>> = 2*3=6
54=2 * 3^3
hence <<54>>=2*3=6
The GCF of <<24>> and <<54>> = 6
This is equivalent to <<12>>=2*3=6
The answer is therefore D.
CareerGeek
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Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
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GMAT 1: 690 Q51 V30
Posts: 1,285
24= 2^3*3
—> <<24>> = 2*3 = 6
54 = 3^3*2
—> <<54>> = 3*2 = 6
Greatest common factor of <<24>> and <<54>> is GCF(6, 6) = 6
(A) <<2>> = 2
(B) <<3>> = 3
(C) 8 = 2^3. So, <<8>> = 2
(D) 12 = 2^2*3. So, <<12>> = 2*3 = 6
(E) 14 = 2*7. So, <<14>> = 2*7 = 14
IMO Option D
Posted from my mobile device
—> <<24>> = 2*3 = 6
54 = 3^3*2
—> <<54>> = 3*2 = 6
Greatest common factor of <<24>> and <<54>> is GCF(6, 6) = 6
(A) <<2>> = 2
(B) <<3>> = 3
(C) 8 = 2^3. So, <<8>> = 2
(D) 12 = 2^2*3. So, <<12>> = 2*3 = 6
(E) 14 = 2*7. So, <<14>> = 2*7 = 14
IMO Option D
Posted from my mobile device
For all integers p, <<p>> is the product of p's distinct prime factors. What is the greatest common factor of <<24>> and <<54>>?
\(24= 2^{3}*3\)
—> <<24>> = 2*3= 6
\(54= 2*3^{3}\)
—> <<54>>= 2*3= 6
GCF(6,6)= 6
A) <<2>> = 2
B) <<3>> = 3
C) <<8>> = 2
D) <<12>>= 2*3= 6
Correct
E) <<14>>= 2*7= 14
The answer is D
Posted from my mobile device
\(24= 2^{3}*3\)
—> <<24>> = 2*3= 6
\(54= 2*3^{3}\)
—> <<54>>= 2*3= 6
GCF(6,6)= 6
A) <<2>> = 2
B) <<3>> = 3
C) <<8>> = 2
D) <<12>>= 2*3= 6
Correct
E) <<14>>= 2*7= 14
The answer is D
Posted from my mobile device
jppresa
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Schools: LSE MFin "23
GPA: 3.8
Schools: LSE MFin "23
Posts: 38
The question stem contains odd symbols, so it’s testing functions. Follow the directions carefully. The function <<p>> is the product of p's distinct prime factors. The distinct prime factors of 24 are 2 and 3, so <<24>> = 2 × 3 = 6. The distinct prime factors of 54 are 2 and 3, so <<54>> = 2 × 3 = 6. Therefore, the greatest common factor of <<24>> and <<54>> is 6. Check each of the answer choices, looking for the one that equals 6.
Choice A is <<2>> = 2, so eliminate choice A.
Choice B is <<3>> = 3, so eliminate choice B.
Choice C is <<8>> = 2, so eliminate choice C.
Choice D is <<12>> = 2 × 3 = 6, so keep choice D.
Choice E is <<14>> = 2 × 7 = 14, so eliminate choice E.
The correct answer is choice D.
Choice A is <<2>> = 2, so eliminate choice A.
Choice B is <<3>> = 3, so eliminate choice B.
Choice C is <<8>> = 2, so eliminate choice C.
Choice D is <<12>> = 2 × 3 = 6, so keep choice D.
Choice E is <<14>> = 2 × 7 = 14, so eliminate choice E.
The correct answer is choice D.
Posts: 4,849
Solution:
Distinct prime factors of 24 are 2,3
<<24>> = 2*3 = 6
Distinct prime factors of 54 are 2,3
<<54>> = 2*3 = 6
Greatest common factors of 6 ,6 is 6
Option A and B can be eliminated as they are prime values. Option c has value of 2 and not 6 and can be eliminated.
Option d = <<12>>
= 2*3 = 6
Hence option (d)
Devmitra Sen
GMAT SME
Distinct prime factors of 24 are 2,3
<<24>> = 2*3 = 6
Distinct prime factors of 54 are 2,3
<<54>> = 2*3 = 6
Greatest common factors of 6 ,6 is 6
Option A and B can be eliminated as they are prime values. Option c has value of 2 and not 6 and can be eliminated.
Option d = <<12>>
= 2*3 = 6
Hence option (d)
Devmitra Sen
GMAT SME
So to be clear, had the answers not included << >> then B would be correct?
Kinshook
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Given: For all integers p, <<p>> is the product of p's distinct prime factors.
Asked: What is the greatest common factor of <<24>> and <<54>>?
24=2^3*3
<<24>>=2*3=6
54=3^3*2
<<54>>=2*3=6
GCF(<<24>>,<<54>>)=6
<<12>>=2*3=6
IMO D
Posted from my mobile device
Asked: What is the greatest common factor of <<24>> and <<54>>?
24=2^3*3
<<24>>=2*3=6
54=3^3*2
<<54>>=2*3=6
GCF(<<24>>,<<54>>)=6
<<12>>=2*3=6
IMO D
Posted from my mobile device
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