Question

find the HCF of the following numbers by prime factorization method i)45 ii)75 ​

Answer 1

Answer:

∴ HCF of $45$ and $75$ is $15$.

Step-by-step explanation:

• In context with question asked,
• We have to find the HCF of $45$ and $75$ by prime factorization method.
• HCF is the highest common factor.
• The factors of given numbers are,

        $45 = 3\times 15$

            = $3\times 3\times 5$

        $75=3\times 25$

            = $3\times 5\times5$

• Now, the common factors of $45$ and $75$ are $3$ and $5$.
• So,

    HCF of $45$ and $75$ = $3\times 5$

                             = $15$

• ∴ HCF of $45$ and $75$ is $15$.

Answer 2

Answer:

The HCF prime factor is 45 ,75 $=15$

Step-by-step explanation:

In accordance with the information provided in the question,

Given the data in question  i)45 ii)75 ​

We have find the value of HCF in the above question

We know that HCF means highest common factor

AS we get,

The prime factorization of 45 are,$3\times3\times5$

The prime factorization of 75 are,$3\times 5\times5$

So, common number is $3\times5$

So,

[tex]3\times5\\ 15[/tex]

Hence HCF prime factorization is 45, 75 $=15$