Continuous division, like factor trees and rainbows is a way to notate the process of finding a prime factorization. Example: 30 and 42
30/2 = 15/3 = 5/5 = 1
42/2 = 21/3 = 7/7 = 1
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
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8/2 = 4/2 = 2/2 = 1
12/2 = 6/2 = 3/3 = 1
24/2 = 12/2 = 6/2 = 3/3 = 1
2 x 2 x 2 = 8
2 x 2 x 3 = 12
2 x 2 x 2 x 3 = 24
Select the common factors.
2 x 2 = 4, the GCF
The GCF of consecutive integers is 1.
It works out as 17
The GCF is 6. That makes the LCM 42.
58/2 = 29/29 = 1 82/2 = 41/41 = 1 2 x 29 = 58 2 x 41 = 82 Select the common factor. The GCF is 2.
The GCF of 81 and 117 is 9.