The HCF of 6 and 10 is 2. HCF of 6 and 10 is the greatest integer that can divide both numbers evenly, and that number is 2. 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. For 6 and 10, the common factors are 1 and 2. Since 2 is the highest among the given factors, HCF would be 2 for 6 and 10. You can refer to GCF for more details.
What is the HCF of 6 and 10?
The Highest Common Factor, also known as the Greatest Common Factor, of 6 and 10 is 2.
How to Find HCF of 6 and 10?
There are three methods to find the HCF of 6 and 10:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 6 and 10 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 6 and 10 can be expressed as:
6 = 2 × 3
10 = 2 × 5
The only one common prime factor is 2.
Therefore, HCF (6, 10) = 2.
HCF of 6 and 10 by Long Division Method
In the long division method, the below steps are followed.
- From the given set of numbers, the smallest number becomes the divisor, and the larger number becomes the dividend.
- In the next step, the smaller number becomes the dividend, and the remainder becomes the divisor.
- The above step is followed until the remainder is zero.
- The last divisor would be the HCF.
The HCF of 6 and 10 by long division method is:
Therefore, HCF (6, 10) = 2
HCF of 6 and 10 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 6 and 10:
Factors of 6: 1, 2, 3 and 6.
Factors of 10: 1, 2, 5, and 10.
Therefore, HCF (6, 10) = 2
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the greatest number that divides 6 and 10 equally.
The greatest number that divides both 6 and 10 is nothing but the GCF, which is 2.
2. What is the GCF of 10 and 20?
The GCF of 10 and 20 is 10.
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