Question

what is the HCF of 36,18 ?​

Answer 1

Answer:

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor is 18.

Answer 2

Given numbers:- $36, 18$

As we have to find the HCF of the given numbers,

The prime factors of $36$ are $2, 2, 3$ and $3.$

The prime factors of $18$ are $2, 3$ and $3.$

The common prime factors are $2, 3$ and $3.$

The product of the prime factors that all of the original numbers have in common is the greatest common factor.

So, the GCF $=2\times 3\times3$

$=>2\times 3^2$

$=>18$

Hence, the greatest common factor of $36, 18$ is $18$.