Answer:
By Prime Factorization, GCF of (81,54) is 27.
Step-by-step explanation:
First we will factorize the number 81 such as
[tex]81 = 9\times 9\\= 3\times 3\times 3\times 3\\[/tex]
which are the prime factors of 81
similarly prime factor for number 54 will be
[tex]54 = 2\times 27\\= 2\times 3\times 9\\= 2\times 3\times 3\times 3[/tex]
which are the prime factors for 54
GCF is the greatest common factor i.e all the common factors will be multiplied therefore,
[tex]\textrm{GCF of 81 and 54} = 3\times 3\times 3\\\\\textrm{we have 3 , three times common in both}\\\textrm{hence the required GCF(81,54)}= 27[/tex]
Hence GCF(81,56) is 27.
