That depends what numbers. If you mean ALL even and odd numbers, the only common factor or divisor is 1.
2 and any even number.
2 AND 3
Odd numbers do NOT have a factor of 2. When an Even number is divided by an Odd number with no remainder, the prime factors of the divisor cancel out the prime factors of the dividend, but there will be no prime 2 to cancel the prime factor of 2 in the dividend leaving the the quotient to have a factor of 2, and so will be Even. --------------------------------------------------------- Alternatively, consider what happens when you multiply Odd and Even numbers: Odd × Odd = Odd Odd × Even = Even Even × Even = Even The result is Even ONLY if at least one of the numbers multiplied together is Even. Thus if you divide an Even number by an Odd number, the result must be Even. Also consider that Odd times Odd is Odd. Multiplication is the inverse of division, so if you have: dividend ÷ divisor = quotient then dividend = quotient × divisor Now, if the divisor is Odd and the quotient is Odd, the the Dividend MUST be Odd (since Odd × Odd = Odd). Thus if the Dividend is Even and the Divisor is Odd, then the Quotient must be Even.
All even numbers have two as a factor. That means that any set of even numbers will have at least a two as a common factor. Since 2 will be a part of the greatest common factor, it will have to be even.
Even numbers.
even divisor 4
The GCF is 2.
Yes.
The greatest common multiple of any set of numbers is infinite. The greatest common multiple of any set of numbers will never be one.
2 is a divisor of all even numbers, and a divisor is a factor of all numbers which can be divided by it.
Consecutive even numbers.
Consecutive even numbers.
Consecutive even numbers
No. Odd numbers don't have even factors.
No.
No.
Yes.