High School

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------------------------------------------------ What is the greatest common factor of [tex]48x^2[/tex] and [tex]32x^3[/tex]?

Answer :

Answer:

Step-by-step explanation:

Write the prime factors making up the two expressions

48x^2: 2 * 2 * 2 * 2 * 3 * x * x

32x^3: 2 * 2 * 2 * 2 * 2 * x * x * x

Underline what is common to both

The highest common factor is 2 * 2 * 2 * 2 * x * x

The highest common factor is 16x^2

This may look very simplistic, but try a question like this

5397691 and 3271021

The method I've shown you is likely the only way you could factor these two monsters and they are relatively small numbers.