Question

Find the highest common factor using prime factorization for 27y and 54y³​

Answer 1

Given:

27y and 54y³

​To find:

The highest common factor (HCF) using prime factorization.

Solution:

We have,

27y and 54y³

Using the prime factorization, we get

$27y=3\cdot 3\cdot 3\cdot y$

$54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y$

Now, the common prime factors are 3, 3, 3 and y. So,

$HCF=3\cdot 3\cdot 3\cdot y$

$HCF=27y$

Therefore, the highest common factor of the given terms is 27y.