What is the greatest common factor shared by 33 and 60?

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Sep 24, 2016

Answer:

#3#

Explanation:

One method of finding the greatest common factor (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.

For our example, we find:

#60 / 33 = 1" "# with remainder #27#

#33 / 27 = 1" "# with remainder #6#

#27 / 6 = 4" "# with remainder #3#

#6/3 = 2" "# with remainder #0#

So the GCF of #60# and #33# is #3#

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Sep 24, 2016

Answer:

Explanation:

Factors of #33# are #{color(red)(1,3),11,33}#

Factors of #60# are #{color(red)1,2,color(red)3,4,5,6,10,12,15,20,30,60}#

Common Factors are #{color(red)1,color(blue)3}#

and Greatest Common Factor is #3#

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