Question

What will be the HCF of two successive even
numbers?​

Answer 1

Answer:

Take any 2 consecutive even numbers, One factor of each will be 2 & the other factor of both will be 2 cosecutive natural numbers.. , in which one will be odd . like..

2=2x1

4=2x2

6=2x3

8=2x4

32=2x16

34=2x17

36=2x18

Since 2 consecutive natural numbers have no common factor except 1

So, HCF of 2 even consecutive numbers =2