How do you find the GCF of $14b, 56b^2$ ?

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Answer 1 · 2018-03-05T03:55:31

See a solution process below:

First, factor the two terms as:

$14b = 2 xx 7 xx b$

$56b^2 = 2 xx 2 xx 2 xx 7 xx b xx b$

Next, identify the common terms in each factorization:

$14b = color(red)(2) xx color(red)(7) xx color(red)(b)$

$56b^2 = color(red)(2) xx 2 xx 2 xx color(red)(7) xx color(red)(b) xx b$

$"GCF" = color(red)(2) xx color(red)(7) xx color(red)(b) = 14b$

How do you find the GCF of 14b, 56b^214b, 56b^2?