What is the greatest common factor of 108 and 168?

Answer 1

Mila Anderson

Greatest Common Factor is #12#

Factors of #108# are #{1,2,3,4,6,9,12,18,27,36,54,108}#

Factors of #168# are #{1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168}#

Common Factors are #{1,2,3,4,6,12}#

Hence Greatest Common Factor is #12#

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Answer 2

Julian Avila

#12#

Here's an alternate method that doesn't require factoring both numbers beforehand:

To find the remainder and quotient, divide the larger number by the smaller one.

The GCF is the smaller number if the remainder is zero.

If not, repeat with the remainder and the smaller number.

In our illustration:

#168/108 = 1# with remainder #60#

#108/60 = 1# with remainder #48#

#60/48 = 1# with remainder #12#

#48/12 = 4# with remainder #0#

So the GCF is #12#

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Answer 3

Mila Anderson

The greatest common factor (GCF) of 108 and 168 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.