The HCF of 1095 and 1168 is 73. The HCF of 1095 and 1168 is the greatest integer that can divide both numbers evenly, which is 73. HCF stands for Highest Common Factor. 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 1095 and 1168, the common factors are 1 and 73. Since 73 is greater than 1, HCF for 1095 and 1168 is 73. You can refer to HCF and LCM to understand better.
What is the HCF of 1095 and 1168?
The Highest Common Factor, also known as the Greatest Common Factor, of 1095 and 1168 is 73.
How to Find HCF of 1095 and 1168?
There are three methods to find the HCF of 1095 and 1168:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 1095 and 1168 by Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 1095 and 1168 can be expressed as:
1095 = 3 × 5 × 73
1168 = 2 × 2 × 2 × 2 × 73.
The only Common Prime Factor is 73.
Therefore, HCF (1095, 1168) = 73.
HCF of 1095 and 1168 by Long Division Method
In the Long division method, the following 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.
HCF of 1095 and 1168 by long division method is:
Therefore, HCF (1095, 1168) = 73
HCF of 1095 and 1168 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 1095 and 1168:
Factors of 1095: 1, 3, 5, 15, 73, 219, 365, 1095.
Factors of 1168: 1, 2, 4, 8, 16, 73, 146, 292, 584, 1168.
Therefore, HCF (1095, 1168) = 73.
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the second greatest number that divides 1095 and 1168 evenly.
The second greatest number that divides both 1095 and 1168 evenly is nothing but the second greatest common factor, which is 1.
2. What is the GCF of 1095 and 10950?
The GCF of 1095 and 10950 is 1095.
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