There are actually more than a pattern rule for that type of sequence.
The pattern rule is not obvious. The sequence is actually this:
an = 5a(n - 2) for n > 2, such that the seed values are a1 = 1 and a2 = 5.
Another pattern rule is the number of palindromes using a maximum of five different symbols.
The third one is the Inverse Binomial Mean transformation of the Fibonacci sequence.
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I think it is to start at 1 and multiply by 5 each time. So, 1*5=5, 5*5=25, 25*5=125 etc.
the next number in the sequence 1 5 25 125 is 625
Factors of 25 are 1, 5, and 25 Factors of 125 are 1, 5, 25, and 125 The GCF of 25 and 125 is 25
The GCF is 25.It is: 25
25