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The first part of the answer can be found by finding the GCF between 15 and 25. 15 is divisible by 1, 3, 5, and 15. 25 is divisible by 1, 5, and 25. You can see that their GCF is 5. Next, you need to look at the variables. The first monomial has a, b, and [tex] c^{2} [/tex]. The second monomial has [tex] a^{3} [/tex], b, and c. They each have at least one a, one b, and one c, so those will be in the GCF (abc). If you put that together with the 5, you get that the GCF is 5abc.

Answer:

GCF = 5abc

Step-by-step explanation:

We have to find the Greatest common factor of two expressions 15 abc² and 25 a³bc.

factors of 15 abc² = 3 × 5 × a × b × c × c

factors of 25 a³bc = 5 × 5 × a × a × a × b × c

So common factors of both the terms will be

5 × a × b × c

= 5abc

Therefore 5abc is the GCF of these terms.