12
2 6
2 2 3
The prime factorization is 2x2x3.
12
6,2
3,2,2
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12 6,2 3,2,2
12 6,2 3,2,2
Use a factor tree to break apart numbers.ie. 12...../ \....2 6....../ \.....2 3The prime factors of 12 are 2, 2, and 3.
Here are factor trees for 12 and 42: 12 - 2 - 6 - 2 - 3 42 - 2 - 21 - 3 - 7 The leaves in 12's factor tree are: 2, 2, and 3. The leaves in 42's factor tree are: 2, 3, and 7. The longest common sub-sequence of the leaf lists is: 2, 3. Therefore, multiply 2 by 3 and we get that 6 is the gcf of 12 and 42.
IT IS PRIME there is no factor tree