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

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Answer 1 · 2018-01-21T03:58:27

#2#

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

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

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

We know that #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#