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AysviL [449]
3 years ago
15

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

Mathematics
1 answer:
amid [387]3 years ago
5 0

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.

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