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

Answer

Verified

364.2k+ views

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.

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.

Last updated date: 29th Sep 2023

â€¢

Total views: 364.2k

â€¢

Views today: 6.64k

Recently Updated Pages

What do you mean by public facilities

Please Write an Essay on Disaster Management

Paragraph on Friendship

Slogan on Noise Pollution

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

What is meant by shramdaan AVoluntary contribution class 11 social science CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

An alternating current can be produced by A a transformer class 12 physics CBSE

What is the value of 01+23+45+67++1617+1819+20 class 11 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers