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3 years ago

What is the greatest common factor (GCF) of 27 and 36?

Mathematics

2 answers:

riadik2000 [5.3K]3 years ago

8 0

Answer:

Step-by-step explanation:

the easiest way is the Euclid's algorithm

$36=27(1)+9\\\\27=9(3)+0$

so 9 is the GCF

if you don't know the Euclid's algorithm

we first need to factorize 27 and 36

$27=3*9=3*3*3=3^{3}$

$36=2*18=2*2*9=2*2*3*3=2^{2}*3^{2}$

and the common factor is 3

and the highest common exponent is 2 (of the factor 3)

so the GCF= $3^{2} =9$

as you can see it's easier the Euclid's algorithm

Veseljchak [2.6K]3 years ago

3 0

The answer is 9 have a nice day

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