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33 votes
33 votes
Find the GCF of the monomials: 32x^2 and 24x^2y

User Sjobe
by
3.1k points

2 Answers

17 votes
17 votes

Answer: 4x^2

Step-by-step explanation: I took the test and got this answer right

User Haiku Oezu
by
3.0k points
15 votes
15 votes

Answer:

8x^2

Step-by-step explanation:

First, do prime factorization of each of the coefficients:

32 ⇒ 2^5

24 ⇒ 2^3, 3

The greatest common factor (GCF) of the coefficients is 2^3 = 8.

Next, find the GCF of the variables:

x^2

x^2, y

The GCF of the variables is x^2.

Finally, multiply the GCF of the coefficients by the GCF of the variables to get:

8x^2

User Mocky
by
2.2k points
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