Math, asked by madhu130605, 1 year ago

What is the H C F of smallest prime number and smallest composite
number?​

Answers

Answered by priyansusingh2005
2

Answer:2

Step-by-step explanation:

A composite number is a number which has factors other than unity and the number itself. Examples: 4, 6, 15, 100 and so on. It follows from this definition that the smallest composite number is 4 since the factors of 4 are: 1,2 and 4.

A prime number is a number whose sole divisors (factors) are unity (1) and the number itself. Examples of prime numbers: 2, 3, 5, 19, 71, etc. Therefore the smallest prime number = 2 since its divisors are only 1 and 2.

To find HCF between 2 and 4, we write

2 = 2¹

4 = 2²

It is evident from above that the Highest Common Factor or HCF between 4 and 2 is 2.

Hence, the HCF of the smallest composite number and the smallest prime number is 2 (Answer).

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