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Answer:
The greatest common factor between the two terms is 14ab²c²
If we divide them by that, then the first expression would be
14ab²c² ₓ abc²
and the second would be
14ab²c² ₓ 2
Step-by-step explanation:
We're given two terms:
1) [tex]14a^2 b^3c^4[/tex]
2)[tex]28ab^2c^2[/tex]
Beacause each of them is a single term, we can simply scan through every constant and variable, and find the greatest factor that it can be divided by in each term.
Starting with the numbers, the first one is multiplied 28, and the second one 14. These are both divisible by 14, which makes that our greatest common factor there.
With the variable a, we have a (or a¹) and a². a¹ is the lesser, so that is the greatest common factor for that variable.
With b, we have b² and b³, meaning b² is the greatest common factor there.
Finally with c, we have c⁴ and c², giving c² as the factor there.
Put them all together and the greatest common factor we have between the two expressions is:
14ab²c²