Factoring and Multiples

Numbers

# The GCF of an odd and an even number is?

###### Wiki User

###### 2012-06-27 00:05:56

odd

## Related Questions

###### Asked in Factoring and Multiples

### Is the GCF of any two numbers always odd and why?

The GCF of any two odd numbers is always odd because odd numbers
don't have any even factors. The GCF of any two even numbers is
always even because even numbers are divisible by two and any
common factors would have at least one two in common. The GCF of an
even and an odd number is odd because odd numbers don't have any
even factors.