Question

Find the Highest Common Factor (HCF) of 16 and 28.

Answer 1

Hint: H.C.F of the numbers is calculated by multiplying all the common factors so, use this property to reach the answer.

Complete step-by-step answer:
Given numbers are 16 and 28.
As we know that the highest common factor (H.C.F) is calculated by multiplying all the common factors of the given numbers.
So first factories the numbers,
Therefore the factors of 16 are,
$16 = 2 \times 2 \times 2 \times 2$
The factors of 28 are,
$28 = 2 \times 2 \times 7$
Now, as we see that the common factors of above numbers are $2 \times 2$.
So the required H.C.F of the given numbers is $2 \times 2 = 4$.
So, H.C.F of 16 and 28 is 4.

Note: In such types of questions first factories all the given numbers then find out all the common factors of the given numbers then multiply these common factors which is the required H.C.F of the given numbers.