a and b are positive integers such that the least common factors a and b are 3,5 respectively find least common factor of a+b
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Answer: 2
Step-by-step explanation:
We know that the least Prime factor of an even number is 2. Since the least factor of a and b is not 2, a and b are odd numbers.
Now, we know that the sum of two odd numbers is even.
Therefore, a+b is an even number. Now, the least factor of an even number is 2. Hence, the least factor of a+b is 2.
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