HCF of 4 and 16

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.

Related Articles

• HCF of Two Numbers
• HCF and LCM
• Relation between HCF and LCM
• GCF calculator
• GCF

Video Lesson on Properties of HCF and LCM

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.