The GCF is 16.
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To find the greatest common factor (GCF) of 96, 144, and 224, we first need to find the prime factorization of each number.
96 = 2^5 * 3 144 = 2^4 * 3^2 224 = 2^5 * 7
Next, we identify the common prime factors among the numbers: 2^4 = 16. Therefore, the GCF of 96, 144, and 224 is 16.
Oh, dude, the greatest common factor (GCF) of 96, 144, and 224 is 16. It's like the cool kid that all three numbers can hang out with without any jealousy. So yeah, 16 is the number that can divide those three numbers without any drama.
Ah, the greatest common factor, isn't that a happy little thing to find? Let's take a moment to appreciate the beauty of numbers coming together. The GCF of 96, 144, and 224 is 16. Just like how every color on our palette has its own place, these numbers have found their common ground in 16. Happy calculating, my friend!