HCF of 0 and 6

The HCF of 0 and 6 is 6. HCF is the greatest integer that can divide 0 and 6 evenly, and that number is 6. HCF stands for Highest Common Factor, and it is also known as GCF, Greatest Common Factor or GCD, Greatest Common Divisor. For a given set of numbers, there would be multiple common factors, and the highest among the common factors is known as the HCF. However, for 0 and 6, we need to consider the factor of 6 only as the other number is 0. Therefore, the common factor of 0 and 6 is 6. You can refer to GCF for more details.

What is the HCF of 0 and 6?

The Highest Common Factor, also known as the Greatest Common Factor, of 0 and 6 is 6. 

How to Find HCF of 0 and 6?

There are three methods to find the HCF of 0 and 6:

  • Prime Factorisation
  • Long Division method
  • Listing common factors

HCF of 0 and 6 by Prime Factorisation Method

In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 0 and 6 can be expressed as:

0 = 0 × 2 or 0 × 3

6 = 2 × 3 

Common Prime Factors are 2 and 3. 

Therefore, HCF (0, 6) = 6.

HCF of 0 and 6 by Long Division Method

In the Long division method, the below steps are followed.

  1. From the given set of numbers, the smallest number becomes the divisor, and the larger number becomes the dividend.
  2. In the next step, the smaller number becomes the dividend, and the remainder becomes the divisor. 
  3. The above step is followed until the remainder is zero. 
  4. The last divisor would be the HCF.

The HCF of 0 and 6 by long division method is:

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Hence, HCF (4, 6) = 6

HCF of 0 and 6 by Listing Common Factors

By listing all the factors of given numbers, we can identify the Highest/Greatest/Biggest common factor, which is the HCF. Below is the list of factors for 0 and 6

Factors of 0: 1, 2, 3, 4 …..

Factors of 6: 1, 2, 3, and 6.

Therefore, HCF (4, 6) = 6

Related Articles

Video Lesson on Properties of HCF and LCM

Solved Examples

1. Find the Greatest number that divides 8 and 16 evenly.

The Greatest number that divides both 8 and 16 is nothing but the GCF, which is 8.

2. What is the GCF of 12 and 60?

The GCF of 12 and 60 is 12.

Frequently Asked Questions on HCF of 0 and 6

Q1

What is the HCF of 0 and 6?

The HCF of 0 and 6 is 6.
Q2

Is the HCF of 0 and 6 the same as the LCM of 0 and 6?

No. The Highest Common Factor of 0 and 6 is 6 and the Least Common Multiple of 0 and 6 cannot be defined.
Q3

What are the factors of 0 and 6?

0 does not have any factors. For 6, the factors are 1, 2, 3, and 6.
Q4

What is the second HCF of 0 and 6?

The second HCF of 0 and 6 is 1.
Q5

What are the three multiples of 6?

The three multiples of 6 are 6, 12 and 18.

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