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Troyanec [42]
3 years ago
14

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

Mathematics
2 answers:
riadik2000 [5.3K]3 years ago
8 0

Answer:

9

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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