Question

Prime factorization of GCF (81, 54)

Answer 1

By Prime Factorization, GCF of (81,54) is 27.

Explanation:

First we will factorize the number 81 such as

`81 = 9* 9\\= 3* 3* 3* 3\\`

which are the prime factors of 81

similarly prime factor for number 54 will be

`54 = 2* 27\\= 2* 3* 9\\= 2* 3* 3* 3`

which are the prime factors for 54

GCF is the greatest common factor i.e all the common factors will be multiplied therefore,

`\textrm{GCF of 81 and 54} = 3* 3* 3\\\\\textrm{we have 3 , three times common in both}\\\textrm{hence the required GCF(81,54)}= 27`

Hence GCF(81,56) is 27.