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what is a common factor of 28x^3 and 20x^5

User Sngreco
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Answer: To find the common factors of 28x^3 and 20x^5, we need to identify the factors that both terms share.

First, let's break down the given terms into their prime factors:

- For 28x^3: 28 = 2 * 2 * 7, and x^3 represents x * x * x.

- For 20x^5: 20 = 2 * 2 * 5, and x^5 represents x * x * x * x * x.

Now, let's compare the prime factors:

- Both terms have two factors of 2 in common: 2 * 2.

- Both terms have x^3 in common, as they both have three factors of x: x * x * x.

To find the common factor, we multiply the common factors of the coefficients (2 * 2) and the common factors of the variables (x^3).

Therefore, the common factor of 28x^3 and 20x^5 is 4x^3.

Remember, when finding common factors, we look for the highest power of each common prime factor. In this case, 2^2 is the highest power of 2, and x^3 is the highest power of x that both terms share.

Explanation:

User Kenglxn
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