The factors of 144 are:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
The factors of 216 are:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
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It is: 72
Unique factors just means don't repeat any. The prime factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3. The unique prime factors of 216 are 2 and 3. The factor pairs of 144 are (144,1) (72,2)(48,3)(36,4)(24,6)(18,8)(16,9)(12,12) The unique factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
The HCF is 18
The GCF is 18.
To find the Least Common Multiple (LCM) of 72, 144, and 216, we first need to prime factorize each number. 72 = 2^3 * 3^2 144 = 2^4 * 3^2 216 = 2^3 * 3^3 Then, we take the highest power of each prime factor that appears in any of the numbers. So, the LCM of 72, 144, and 216 is 2^4 * 3^3 = 288.