A number that divides evenly into another number is called a factor.
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A common factor is an integer that divides evenly into two or more given numbers with no remainder.
A prime number
Oh honey, the HCF of 8, 24, and 32 is 8. It's like finding the common denominator of your messy math life - just pick the biggest number that divides evenly into all three and call it a day. Keep it simple, sweetheart.
The answer is "minuend".
I would call an odd number factor a factor that is an odd number. I would call a number with an odd number of factors a perfect square.