How do you find the GCF of $8c^2d^3, 16c^3d$ ?

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Answer 1 · 2017-08-28T12:16:19

See a solution process below:

Find the prime factors for each number as:

$8c^2d^3 = 2 xx 2 xx 2 xx c xx c xx d xx d xx d$

$36 = 2 xx 2 xx 2 xx 2 xx c xx c xx c xx d$

Now identify the common factors and determine the GCF:

$8c^2d^3 = color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(c) xx color(red)(c) xx color(red)(d) xx d xx d$

$36 = color(red)(2) xx color(red)(2) xx color(red)(2) xx 2 xx color(red)(c) xx color(red)(c) xx c xx color(red)(d)$

Therefore:

$"GCF" = color(red)(2) xx color(red)(2) xx color(red)(2) xx color(red)(c) xx color(red)(c) xx color(red)(d) = 8c^2d$

How do you find the GCF of 8c^2d^3, 16c^3d8c^2d^3, 16c^3d?