A) 90, 60 | 2

45, 30 | 2

45, 15 | 3

15, 5 | 3

5, 5 | 5

1, 1 = 2^{2} * 3^{2} * 5^{1}2

2

∗3

2

∗5

1

= 4 * 9 * 5 = 180.

B) 14, 63 | 2

7, 63 | 3

7, 31 | 7

1, 31 | 31

1, 1 = 2^{1} * 3^{1} * 7^{1} * 31^{1}2

1

∗3

1

∗7

1

∗31

1

= 2 * 3 * 7 * 31 = 1302.

C) 21, 35 | 3

7, 35 | 5

7, 7 | 7

1, 1 = 3^{1} * 5^{1} * 7^{1}3

1

∗5

1

∗7

1

= 171.

D) 35, 50 | 2

35, 25 | 5

7, 5 | 5

7, 1 | 7

1, 1 = 2^{1} * 5^{2} * 7^{1}2

1

∗5

2

∗7

1

= 2 * 25 * 7 = 350.

E) 48, 72 | 2

24, 36 | 2

12, 18 | 2

6, 9 | 2

3, 9 | 3

1, 3 | 3

1, 1 = 2^{4} * 3^{2}2

4

∗3

2

= 9 * 16 = 144.

F) 27, 54 | 2

27, 27 | 3

9 , 9 | 3

3, 3 | 3

1, 1 = 2^{1} * 3^{3}2

1

∗3

3

= 27 * 2 = 54.