How do you find the greatest common factor of the following monomials: 38m, 26m?

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Answer 1 · 2018-03-06T20:53:29

See below

To find the GCF, you must break the constants of the numbers apart to prime numbers.

#38m=# #19*2m#
#26m= 13*2 m#

Now, you must look to see what they have in common. So, the equations both have one #m#, so that would go into the GCF.

#m#

So now you are left with

#19*2#
#13*2#

Both the equations have two, that also goes into the GCF.

#2m#

You are left with 13 and 19 now. Since those are not common, those would go into your ending equation. Thus, your GCF is #2m#.