Yes.
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1, 4, 16, and 64 is a pattern. It multiplies by 4 each time. The next number would be 256.
The factors of 16 are 1, 2, 4, 8, 16 while the factors of 25 are 1, 5, 25
These are square numbers. 1, 4, 9, 16, 25 1 2, 2 2, 3 2, 4 2, 5 2, next number is 6 2 = 36
For 25, 1 and 25 For 49, 1 and 49 For 64, 1, 4, 16 and 64
The GCF is 5.