Question

Factor 54+27 using the GCF.

Answer 1

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

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

Answer 2

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!