Verified Answer :

So, we need the Greatest Common Factor of the two numbers, 54 and 27, right?

first,  is one maybe a multiplication of the other?

yes, it is! in fact, 54 is 27*2; 53 is 27 multiplied by 2.

that means that 27 IS the Greatest Common Factor of the two!

Answer:\(54+27=27(2+1)\ or\ 27(3)\)


Step-by-step explanation:

To factorize 54+27, we need to find the greatest common factors of 54 and 27.

First write the prime factorization of 54 and 27 as

\(54=2\times3\times3\times3\)

\(27=3\times3\times3\)

We can see the greatest common factor here=\(3\times3\times3=27\)

As 27 is the GCF of 54 and 27 then 54+27 can be written as

\(54+27=27(2+1).....[\text{by taking 27 as GCF outside}]\\=27(3)\)