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What is the GCF of 36 and 60?

Answer 1

Gianna Caruso

Greatest Common Factor is #12#.

Factors of #36# are #{1,2,3,4,6,9,12,18,36}#.

Factors of #60# are #{1,2,3,4,5,6,10,12,15,20,30,60}#.

Common factors are #}1,2,3,4,6,12}#.

Hence Greatest Common Factor is #12#.

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Answer 2

Julian Avila

#HCF = 2xx2xx3 = 12#

One way to find GCF and LCM is to write the numbers as the product of the prime factors, especially if the numbers are larger than usual.

This allows us to quickly identify the common factors:

#color(white)(xxxxxx)36 = color(red)(2xx2xx3)xx3# #color(white)(xxxxxx)60= color(red)(2xx2xx3)color(white)(xxx)xx5#

#GCF=color(white)(xx) = color(red)(2xx2xx3) color(white)(xxxxx) = 12#

#LCM=color(white)(xx) = 2xx2xx3xx3xx5 color(white)(xxxxx) = 180#

You have all the information possible about any number if it is expressed as the product of its prime factors.

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Answer 3

Roman Alvarez

The greatest common factor (GCF) of 36 and 60 is 12.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.