# How do you find the greatest common factor of #80x^3, 30yx^2#?

Find the prime factorization of each of the given numbers:

the greatest common factor is the product of all common factors taken one at a time at the lowest exponent:

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To find the greatest common factor (GCF) of (80x^3) and (30yx^2), you need to factor each term into its prime factors. Then, identify the common factors and take the minimum exponent for each common factor.

The prime factorization of (80x^3) is (2^4 \cdot 5 \cdot x^3) and the prime factorization of (30yx^2) is (2 \cdot 3 \cdot 5 \cdot y \cdot x^2).

The common factors are (2), (5), and (x^2).

Therefore, the greatest common factor is (2 \cdot 5 \cdot x^2 = 10x^2).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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