Two positive integers $a$ and $b$ are divisible by $5,$ which is their largest common factor. What is the value of

Two positive integers $a$ and $b$ are divisible by $5,$ which is their largest common factor. What is the value of $a$ and $b?$

(1) The lowest number that has both integers $a$ and $b$ as its factors is the product of one of the integers and the greatest common divisor of the two integers.

(2) The smaller integer is divisible by $4$ numbers and has the smallest odd prime number as its factor.

Answer: E

Source: e-GMAT

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