The HCF of 2923 and 3239 is 79. HCF is the greatest integer that can divide 2923 and 3239 evenly, and that number is 79. 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 2923 and 3239, the common factors are 1 and 79. Since 79 is greater than 1, HCF for 2923 and 3239 is 79. You can refer to HCF and LCM to understand better.
What is the HCF of 2923 and 3239?
The Highest Common Factor, also known as the Greatest Common Factor of 2923 and 3239, is 79.
How to Find HCF of 2923 and 3239?
There are three methods to find the HCF of 2923 and 3239:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 2923 and 3239 by Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 2923 and 3239 can be expressed as;
2923 = 37 × 79
3239 = 41 × 79
Common Prime Factor is 79.
Therefore, HCF (2923, 3239) = 79.
HCF of 2923 and 3239 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.
Hence, HCF (2923, 3239) = 79
HCF of 2923 and 3239 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 2923 and 3239:
Factors of 2923: 1, 37, 79, 2923
Factors of 3239: 1, 41, 79, 3239
Therefore, HCF (2923, 3239) = 79
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Video Lesson on Properties of HCF and LCM
![](https://cdn1.byjus.com/wp-content/uploads/2022/05/Properties-of-HCF-and-LCM.jpg)
Solved Examples
1. Find the second greatest number that divides 2923 and 3239 evenly.
The second greatest number that divides both 2923 and 3239 evenly is nothing but the second greatest common factor, which is 1.
2. What is the GCF of 2923 and 29230?
The GCF of 2923 and 29230 is 2923.
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