Well, isn't that a happy little math problem we have here. To find the greatest common factor of 180, 270, and 900, we first need to find the factors of each number. Then, we look for the largest number that divides evenly into all three numbers. Let's paint a picture of this together, finding the common factors like a beautiful landscape coming together on our canvas.
Chat with our AI personalities
Oh, dude, the greatest common factor of 180, 270, and 900 is 90. It's like finding the coolest party they all want to go to, and that party is 90. So, yeah, 90 is the number they all have in common and want to hang out with.
To find the greatest common factor (GCF) of 180, 270, and 900, we first need to find the prime factorization of each number.
180 = 2^2 * 3^2 * 5 270 = 2 * 3^3 * 5 900 = 2^2 * 3^2 * 5^2
Next, we identify the common prime factors among the numbers: 2^2, 3^2, and 5.
Therefore, the GCF of 180, 270, and 900 is 2^2 * 3^2 * 5, which simplifies to 36.
The greatest common factor of 270 and 360 is 90.
Oh, dude, the greatest common factor of 180 and 270 is 90. Like, it's basically the biggest number that can divide both 180 and 270 without leaving a remainder. So, yeah, 90 is the winner in this math showdown.
There cannot be a greatest common factor if there are not at least two numbers to compare. The greatest common factor is the largest factor that all the numbers have in common - the largest factor that they all share.
The GCF is 135.
The GCF is 90.