What is the Greatest Common Factor (GCF) of 16 and 18?

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Answer 1 · 2018-01-21T03:58:27

$2$ $2$

$16 x$ $16x$ is a multiple of $1, 2, 4, 8, 16, x, 2 x, 4 x, 8 x, 16 x$ $1,2,4,8,16,x,2x,4x,8x,16x$ .

$18$ $18$ is a multiple of $1, 2, 3, 6, 9, 18$ $1,2,3,6,9,18$

From here, the common factors of $16 x$ $16x$ and $18$ $18$ are $1$ $1$ and $2$ $2$ .

We know that $2 > 1$ $2>1$ ,

$:. 2$ is the GCF of $16x$ and $18$ .

Answer 2 · 2018-01-21T17:10:56

See a solution process below:

We can factor:

$16x = 2 xx 2 xx 2 xx 2$

$18 = 2 xx 3 xx 3$

We can mark the common factors are:

$16x = color(red)(2) xx 2 xx 2 xx 2$

$18 = color(red)(2) xx 3 xx 3$

Therefore:

$"GCF" = color(red)(2)$

Answer 3 · 2018-05-22T15:36:57

$GCF(16,18)=2$

we can do this by list the factors

$"factors of "16:{color(red)(1,2),4,8,16}$

$"factors of "18:{color(red)(1,2),3,6,9,18}$

$"common factors"{1,2}$

$GCF(16,18)=2$