How do you find the GCF of $24cd^3, 48c^2d$ ?

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Answer 1 · 2018-03-03T20:36:45

See a solution process below:

First, we can write the prime factor for each term as:

$24cd^3 = 2 xx 2 xx 2 xx 3 xx c xx d xx d xx d$

$48c^2d = 2 xx 2 xx 2 xx 2 xx 3 xx c xx c xx d$

The common prime factors are:

$24cd^3 = color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(3) xx color(red)(c) xx color(red)(d) xx d xx d$

$48c^2d = color(red)(2) xx color(red)(2) xx color(red)(2) xx 2 xx color(red)(3) xx color(red)(c) xx c xx color(red)(d)$

Therefore the Greatest Common Factor is:

$"GCF" = color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(3) xx color(red)(c) xx color(red)(d) = 24cd$

How do you find the GCF of 24cd^3, 48c^2d24cd^3, 48c^2d?