What is the GCF for 54, 72?

3 Answers
Jun 22, 2016

Answer:

Explanation:

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#

Jul 1, 2016

Answer:

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

Explanation:

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

  • Divide the larger number by the smaller to give a quotient and remainder.

  • If the remainder is #0# then the smaller number is the GCF.

  • Otherwise repeat with the smaller number and the remainder.

In our example, we find:

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

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

So the GCF is #18#.

Aug 8, 2016

Answer:

18

Explanation:

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#