A factor tree is an aid to find the prime factors of a number. See link below. The prime factors of 60 are 2, 2, 3 and 5.
60
4 x 15
(2x2) x (3x5)
Alternate tree:
60
12 x 5
(3x4) x 5
(3 x (2x2)) x 5
Note: Once you have reached a Prime number, you typically do not continue to repeat it in the next line of the tree, but I carried them down to the next line to help with spacing and show the final result of prime factors.
Alternate tree:
60
30 x 2
(15x2) x 2
((5x3) x 2) x 2
83 is prime. No tree.
Since 60 is a factor of 360, it is automatically the GCF.
61 is already prime. It doesn't need a tree.
5 is a common factor of 25 and 60.
When the bottom branch consists entirely of prime numbers.
Because 45 is not a factor of 60.
60 30,2 15,2,2 5,3,2,2
60 30,2 15,2,2 5,3,2,2
60 30,2 15,2,2 5,3,2,2
60 30,2 15,2,2 5,3,2,2
45 doesn't divide into 60 evenly.
30,2 15,2,2 5,3,2,2
Because 45 is not a factor of 60.
45 doesn't divide into 60 evenly.
as you can obviously see the bottom of a factor tree would be the curious numbers of 2,2,3,5
use a factor tree
24 12,2 6,2,2 3,2,2,2 60 30,2 15,2,2 5,3,2,2