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If the Fibonacci sequence is denoted by F(n), where n is the first term in the sequence then the following equation obtains for n = 0.
If you start with 1, the common factors are 1 and 3. If you start with zero, as Fibonacci did, the common factor is 1.
Assume the question refers to the standard Fibonacci sequence where the first two numbers are 0 and 1.The sequence progresses :- 0, 1, 1, 2, 3, 5, 8, 13, 21, 34 - which is the number required.
Leonardo Fibonacci first recorded his sequence in his book Liber Abaci, which was published in 1202.
The sequence 112358132124 is a variation of the Fibonacci sequence, where each number is the sum of the two preceding ones. It starts with 1, 1, 2, 3, 5, 8, 13, 21, and 34. In this case, the sequence is presented as a concatenated string of its first 12 Fibonacci numbers. Thus, it represents the digits of the Fibonacci numbers lined up together.