The GCF is 13xy.
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The GCF is 3n.
The GCF of two or more numbers represents the largest number that will divide into the two or more numbers evenly with no remainder. 2 is the GCF of 4 and 6.
Greatest Common Factor .... largest expression which (evenly) divides into the given expressions.
The first example that comes to mind is that since 12xy is a factor of 36xy, you could use 12xy. This would have the GCF that you want. ■
3x2 has x, x2 , and 3 as factors. 2x-5 does not have any of those as factors. So the greatest common factor is 1. If you were adding rational expressions with those two expressions in the denominator, you would need to multiply them together to find the least common denominator.