The hcf of how many distinct pairs of factors of 18000 is 75?

Question

Answer 1

240 can be written in 4 ways as product of two co-prime numbers

1, 240
3, 80
5, 48
15, 16

So the answer is 4.

@Venkatesh please let me if l'm correct

Answer 2

240 can be written in 4 ways as product of two co-prime numbers

1, 240
3, 80
5, 48
15, 16

So the answer is 4.

@Venkatesh please let me if l'm correct

Answer 3

30 such factors and 15 pairs

Answer 4

30 such factors and 15 pairs

Answer 5

75, 75*240

Only one pair

Answer 6

75, 75*240

Only one pair

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The hcf of how many distinct pairs of factors of 18000 is 75?