The HCF of 170 and 238 is 34. HCF of 170 and 238 is the greatest integer that can divide both numbers evenly, and that number is 34. 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 170 and 238, the common factors are 1, 2, 17 and 34. Since 34 is the highest among the common factors, HCF would be 34 for 170 and 238. You can refer to HCF for more details.
What is the HCF of 170 and 238?
The Highest Common Factor, also known as the Greatest Common Factor, of 170 and 238 is 34.
How to Find HCF of 170 and 238?
There are three methods to find the HCF of 170 and 238:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 170 and 238 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 170 and 238 can be expressed as:
170 = 2 × 5 × 17
238 = 2 × 7 × 17
Common prime factors of 170 and 238 are 2 and 17.
Therefore, HCF (170, 238) = 2 × 17 = 34.
HCF of 170 and 238 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 170 and 238 by long division method is:
Therefore, HCF (170, 238) = 34
HCF of 170 and 238 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 170 and 238:
Factors of 170: 1, 2, 5, 10, 17, 34, 85, 170
Factors of 238: 1, 2, 7, 14, 17, 34, 119, 238
Therefore, HCF (170, 238) = 34
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the second greatest number that divides 170 and 238 evenly.
The second greatest number that divides both 170 and 238 evenly is nothing but the second greatest common factor, which is 17.
2. What is the GCF of 34 and 238?
The GCF of 34 and 238 is 34.
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