As drawing a factor tree is not easy here, I'll use brackets to represent the different branches:
36 = (6 × 6) = ((2 × 3) × (2 × 3) = [2] × [2] × [3] × 3
120 = (10 × 12) = ((2 × 5) × (3 × 4)) = ((2 × 5) × (3 × (2 × 2))) = [2] × [2] × 2 × [3] × 5
→ gcf(12, 54) = 2 × 2 × 3 = 12
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72
36,2
18,2,2
9,2,2,2
3,3,2,2,2
120
60,2
30,2,2
15,2,2,2
5,3,2,2,2
2 x 2 x 2 x 3 = 24, the GCF
The factor tree will show you the prime factorization. You still need to compare that to another number to get a GCF.
2 x 2 x 2 x 3 x 5 = 120
3 x 3 x 3 x 3 x 5 = 405
3 x 5 = 15, the HCF
Prime factorization is easier.
Since 4 is a factor of 120, it is automatically the GCF.
Since 120 is a factor of 11040, it is automatically the GCF.
The greatest common factor of 120 and 245 is 5.
Since 60 is a factor of 120, it is automatically the GCF.
60 is the greatest common factor of 120 and 1,260