What is the GCF for 54, 72?

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Answer 1 · 2016-06-22T08:31:42

Factors of $54$ are ${1,2,3,6,9,18,27,54}$

Factors of $72$ are ${1,2,3,4,6,8,9,12,18,24,36,72}$

Hence common factors are ${1,2,3,6,9,18}$

and Greatest Common Factor is $18$

Answer 2 · 2016-07-01T06:09:21

The GCF of $72$ and $54$ is $18$ .

One way of finding the GCF of two numbers goes as follows:

In our example, we find:

$72/54 = 1$ with remainder $18$

$54/18 = 3$ with remainder $0$

So the GCF is $18$ .

Answer 3 · 2016-08-08T16:45:35

18

Find the prime factors of each number and see how many factors are shared by both numbers.

$" "54=2xxcolor(white)(2xx2)xx3xx3xx3$
$" "72=2xx2xx2xx3xx3$
GCF= $" " 2color(white)(2xx2xx)xx3xx3" "=18$