Leo the rabbit hops 1 or 2 stairs how many different ways can he climb 10 stairs

1,1,1,1,1,1,1,1,1,1
1,1,1,1,1,1,1,1,2
1,1,1,1,1,1,2,2,
1,1,1,1,2,2,2,
1,1,2,2,2,2
2,2
Find the prime factors of each term in order to find the greatest common factor (GCF).
1

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