Question

Factor 54+27 using the GCF.

Answer 1

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 2

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

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*3*3*3`

`27=3*3*3`

We can see the greatest common factor here=
`3*3*3=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)`