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How do you find the greatest common factor of #60y, 56x^2#?

Answer 1

Genesis Amaya

Let's examine the components of these two terms to determine the GCF:

#60y=2xx30y=2xx2xx15y=2xx2xx3xx5xxy#

#56x^2=2xx28x^2=2xx2xx14x^2=2xx2xx2xx7xx x^2#

What is the largest number we can come up with that still fits into both of the parameters we're considering?

There are two 2s that both terms have - and nothing else in common. So the GCF is #2xx2=4#

#4xx15y=60y# #4xx14x^2=56x^2#

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Answer 2

Gianna Caruso

To find the greatest common factor (GCF) of (60y) and (56x^2), we need to identify the highest power of common factors present in both terms. Then, we take the product of these common factors.

The prime factorization of (60) is (2^2 \times 3 \times 5), and for (56) it is (2^3 \times 7).

So, the GCF of (60y) and (56x^2) is (2^2 = 4).

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Answer from HIX Tutor

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.