What is The HCF of any two consecutive even numbers?

The Highest Common Factor (HCF) of two numbers is the highest possible number which divides both the numbers exactly.

Answer: The HCF of any two consecutive even numbers is always 2.

The HCF (Highest Common Factor) of two or more numbers is the highest number among all the common factors of the given numbers.

Explanation:

Let's assume the two consecutive even numbers are '2k' and '2k+2'

Write the numbers in factored form:

2k = 2 × k

2k+2 = 2 × (k+1)

The highest common factor of the numbers '2k' and '2k+2' is 2.

Consider two consecutive even numbers, 4 and 6.

The HCF of 4 and 6 is 2.

The HCF of any two consecutive even numbers is always 2.