What are the common factors of #6# and #4# ?

1 Answer
Sep 20, 2017

The only positive integer factors they have in common are #1# and #2#.

Explanation:

The positive integer factors of #6# are #1, 2, 3, 6#

The positive integer factors of #4# are #1, 2, 4#

So the only ones they have in common are #1# and #2#

Notes

In contexts where we need to consider negative factors, we would also recognise #-1, -2, -3, -6# as factors of #6# and #-1, -2, -4# as factors of #4#.

So the common integer factors of #6# and #4# are #1, -1, 2, -2#

Advanced Footnote (for interest only)

In the context of Gaussian integers, the common factors of #6# and #4# are:

#1, -1, i, -i, 1+i, 1-i, -1+i, -1-i, 2, -2, 2i, -2i#