The HCF of 28 and 36 is 4. The HCF value 4 divides the given two numbers 28 and 36, evenly. The factors of 28 are 1, 2, 4, 7, 14 and 28, and the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36. We can get the HCF of 28 and 36 using the prime factorisation method, long division method, and by listing the common factors, effortlessly.
Also read: Highest common factor
What is the HCF of 28 and 36?
The answer to this question is 4. The different methods which can be used to find the HCF of 28 and 36 are available in this article. The HCF of 28 and 36 is 4, which divides 28 and 36 evenly.
How to Find HCF of 28 and 36?
The methods used to find the HCF of 28 and 36 are:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 28 and 36 by Prime Factorisation Method
The prime factorisation of 28 and 36 is given by:
28 = 2 × 2 × 7
36 = 2 × 2 × 3 × 3
Common prime factors = 2, 2
Therefore, HCF (28, 36) = 2 × 2 = 4
HCF of 28 and 36 by Long Division Method
The numbers (28, 36) divided by the prime factors will help you get the HCF of 28 and 36. The divisor after a long division with zero as the remainder is the HCF.
No further division can be done.
Hence, HCF (28, 36) = 4
HCF of 28 and 36 by Listing the Factors
To find the HCF of 28 and 36, the common factors have to be listed as shown below:
Factors of 28: 1, 2, 4, 7, 14, 28
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
There are 3 common factors of 28 and 36, which are 1, 2 and 4.
Therefore, the highest common factor of 28 and 36 is 4.
Related Articles
- Prime Factorisation Calculator
- Properties of HCF and LCM
- Prime Factorisation and Division Method for HCF and LCM
- Prime Factorisation
- GCD Calculator
Video Lesson on Properties of HCF and LCM
HCF of 28 and 36 Solved Example
Question: What is the HCF of 28 and 36 if the LCM is 252?
Solution:
Given
LCM = 252
We know that,
HCF × LCM = 28 × 36
HCF = (28 × 36)/252
HCF = 1008/252 = 4
Hence, the HCF is 4.
Frequently Asked Questions on HCF of 28 and 36
What is the HCF of 28 and 36?
How to calculate the HCF of 28 and 36 using the long division method?
List the methods to find HCF of 28 and 36.
If LCM = 252 and HCF = 4 for two numbers, find the other number when one number is 28.
Consider y as the other number
Given LCM = 252 and HCF = 4
HCF × LCM = 28 × y
y = (HCF × LCM)/ 28
y = (4 × 252)/ 28
y = 36
Therefore, the other number is 36.
Show the relation between HCF and LCM of 28 and 36.
The relation between HCF and LCM of 28 and 36 is
HCF × LCM = 28 × 36
HCF × LCM = 1008
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