Question

What is the greatest common factor of 30x^2 and 24x? Enter your response on the line below. Do not use any spaces or words.

Answer 1

Answer:

The Greatest Common Factor (GCF) of 30x² and 24x is 6x.

Step-by-step explanation:

• 30x² = 6x × 5x
• 24x = 6x × 4

Answer 2

Hence, the greatest common factor is $6x$.

What is a Greatest Common Factor?

the greatest common factor or greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

How To Solve?

The Prime Factorization of $30x^2$ and $24x$ respectively is :

$30x^2=2*3*5*x*x$     ....................(1)

$24x=2*2*2*3*x$      .....................(2)

Common factors in (1) and (2) are

$2*3*x$$=6x$

Hence , the greatest common factor of $30x^2$ and $24x$ is $6x$.

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