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Q: What is the greatest common factor of 25 and 75 using a factor tree?

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You must start with two numbers in order to find the greatest common factor of a set of numbers. The number 25 alone has no greatest common factor as their is no other number in order to have a factor in common with anything.

14472,236,2,218,2,2,29,2,2,2,23,3,2,2,2,219899,233,3,211,3,3,22 x 3 x 3 = 18, the GCF

Trees aren't necessary. The greatest common multiple of any set of numbers is always infinite.

29 is already prime. No tree. 87 3,29 Since there are no common prime factors, the GCF is 1.

7236,218,2,29,2,2,23,3,2,2,212060,230,2,215,2,2,25,3,2,2,22 x 2 x 2 x 3 = 24, the GCF

51 3,17 81 9,9 3,3,9 3,3,3,3 The GCF is 3.

The factors of 48 are 1,2,3,4,6,8,12,16,24 and 48. You need another set of factors to compare them with to find a GCF.

You need at least two factor trees to find a GCF.

50 25,2 5,5,2

2,675 2,5,125 2,5,5,25 2,5,5,5,5

114 2,57 2,3,19 There aren't any threes or nineteens in 64, so the GCF is 2.

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