Well, isn't that just a happy little math question! To find the greatest common factor of 72, 144, and 216, we can look for the largest number that divides evenly into all three. In this case, the greatest common factor is 72, because it's the largest number that all three numbers can be divided by without any remainders. Just like painting a beautiful landscape, finding common factors can be a peaceful and rewarding experience.
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To find the greatest common factor (GCF) of 72, 144, and 216, we first need to factorize each number. The prime factorization of 72 is 2^3 * 3^2, 144 is 2^4 * 3^2, and 216 is 2^3 * 3^3. The GCF is found by identifying the common prime factors with the lowest exponents, which in this case are 2^3 * 3^2, resulting in a GCF of 72.
Greatest common factor of 144 and 216 is 72.
The greatest common factor of 96 and 216 is 24.
The Greatest Common Factor (GCF) is: 72
The GCF is: 24
The GCF is 12.