It is known that the greatest common factor of 12 times of number A and 15 times of number B is 1440, so what is the minimum value of the greatest common factor of number A and number B?
已知甲数的12倍与乙数的15倍的最大公因数是1440，那么甲数和乙数的最大公因数的最小值是多少？
<gadget id="calculator">1_440 / 3 / 4 / 5</gadget>
<output>24</output>

<result>24</result>