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