The HCF of 4 and 16 is 4. The highest integer value, which divides 4 and 16, is the HCF. The factors of 4 are 1, 2, 4, and the factors of 16 are 1, 2, 4, 8, 16. The methods used to find the HCF are prime factorisation, long division and listing common factors. The experienced faculty use simple language to explain these concepts by keeping in mind the IQ levels of students.
Also read: Highest common factor
What is the HCF of 4 and 16?
The answer to this question is 4. The HCF of 4 and 16 using the three different methods are determined in this article. The value which divides 4 and 16 evenly is the HCF of the two numbers.
How to Find HCF of 4 and 16?
The three methods to get the HCF of 4 and 16 are:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 4 and 16 by Prime Factorisation Method
The prime factorisation of 4 and 16 is given by:
4 = 2 × 2
16 = 2 × 2 × 2 × 2
Common prime factors of 4 and 16 = 2, 2
Therefore, HCF (4, 16) = 4
HCF of 4 and 16 by Long Division Method
First, by the division of 4 and 16 from their prime factors, the HCF of 4 and 16 can be found. The divisor value 4, when the remainder is zero, is the HCF.
No further division can be done.
Hence, HCF (4, 16) = 4
HCF of 4 and 16 by Listing Common Factors
We can calculate the HCF of 4 and 16 by listing common factors as provided below:
Factors of 4: 1, 2, 4
Factors of 16: 1, 2, 4, 8, 16
There are 3 common factors of 4 and 16, and they are 1, 2 and 4.
Therefore, the highest common factor of 4 and 16 is 4.
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Video Lesson on Properties of HCF and LCM
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HCF of 4 and 16 Solved Example
Question: Determine the HCF of 4 and 16 if the LCM is 16.
Solution:
We know that
LCM × HCF = 4 × 16
HCF = (4 × 16)/16
HCF = 4
Hence, the HCF is 4.
Frequently Asked Questions on HCF of 4 and 16
What is the HCF of 4 and 16?
How to find the HCF of 4 and 16, using the prime factorisation method?
Using the prime factorisation method,
4 = 2 × 2
16 = 2 × 2 × 2 × 2
Therefore, the HCF is 4.
What methods can we use to find HCF of 4 and 16?
Find the LCM if the HCF of 4 and 16 is 4, and the product is 64.
Given
HCF = 4
Product = 64
LCM × HCF = Product
LCM = Product/HCF
LCM = 64/4
LCM = 16
Mention the relation between HCF and LCM of 4 and 16.
The relation between HCF and LCM of 4 and 16 is:
HCF × LCM = 4 × 16
HCF × LCM = 64
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