# What is the HCF of the smallest prime number and the smallest composite number?

**Solution:**

Prime numbers are the numbers that have only two factors, that are, 1 and the number itself.

Composite numbers can be defined as natural numbers that have more than two factors.

The smallest prime number is 2.

The smallest composite number is 4.

To find the HCF of 2 and 4 let us write their prime factorization.

2 = 2

4 = 2 × 2

HCF (2, 4) = 2

Thus, the HCF of the smallest composite number and the smallest prime number is 2.

## What is the HCF of the smallest prime number and the smallest composite number?

**Summary:**

The HCF of the smallest composite number and the smallest prime number is 2.

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