The HCF of 14 and 15 is 1. HCF is the greatest integer that can divide 14 and 15 evenly. HCF stands for Highest Common Factor. As the name suggests, for a given set of numbers, there would be common factors, and the highest among the common factors is known as the HCF. In the given set of numbers 14 and 15, the common factor is 1. HCF is also termed GCF, which is the Greatest Common Factor. Learn more on HCF.
What is the HCF of 14 and 15?
The Highest Common Factor, also known as the Greatest Common Factor of 14 and 15, is 1.
How to Find HCF of 14 and 15?
There are three methods to find the HCF of 14 and 15:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 14 and 15 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 14 and 15 can be expressed as:
14 = 2 × 7
15 = 3 × 5
There is no common prime factor for 14 and 15.
Therefore, HCF (14, 15) = 1
HCF of 14 and 15 by Long Division Method
In the long division method, from the given set of numbers, the smaller number is used as the divisor to the larger number. The smaller number is divided by the remainder. This step is repeated till the remainder becomes zero.
Detailed steps are as follows:
- 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.
For 14 and 15, the HCF by long division method is:
Therefore, HCF (14, 15) = 1
HCF of 14 and 15 by Listing Common Factors
By listing common factors of given numbers, we can identify the Highest/Greatest/Biggest Common Factor, which is the HCF. Below is the list of factors for 14 and 15.
Factors of 14: 1, 2, 7 and 14
Factors of 15: 1, 3, 5 and 15
Therefore, HCF (14, 15) = 1
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Examples
1. Find the greatest number that divides 14 and 15?
Solution: The greatest number that divides 14 and 15 is nothing but the GCF, which is 1.
2. What is the HCF for 10, 6 and 18?
Solution: The HCF for 10, 6 and 18 is 2.
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