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What is the greatest common factor of 180 and 225?

Answer 1

Nova Allen

Let's do a prime factorization of the two numbers:

#180=2xx90=2xx2xx45=2xx2xx3xx3xx5# #225=5xx45=color(white)(00000000000000000000)3xx3xx5xx5#

And now let's find what's in the GCF by seeing what is common to both:

There are 2s in 180 but not 225, so there are no 2's in the GCF.

There are two 3s in both 180 and 225, and so the GCF has two 3s.

There is one 5 in 180 and two in 225, and so the GCF has one 5.

And now let's put it all together:

#3xx3xx5=9xx5=45#

#45xx4=180# #45xx5=225#

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Answer 2

Autumn Arnold

To find the greatest common factor (GCF) of 180 and 225, you can use prime factorization.

Prime factorization of 180: [ 180 = 2^2 \times 3^2 \times 5 ]

Prime factorization of 225: [ 225 = 3^2 \times 5^2 ]

Now, identify the common prime factors and their lowest powers:

Both numbers have (3^2) and (5).

Multiply these common prime factors together: [ GCF = 3^2 \times 5 = 9 \times 5 = 45 ]

Therefore, the greatest common factor of 180 and 225 is 45.

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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.