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Can two numbers be a GCF?
Any positive number can be a GCF. But for each separate set of numbers, there can only be one.
Why is the gcf of an odd number and an even number always odd?
Because odd numbers don't have any even factors so they can't have any in common.
Can an odd number and an even number has a gcf?
Any two integers have a gcf. It is also possible for an odd and an even number to have a gcf other than one; for example, the following numbers (shown in factored form) have the gcf 7: 7 x 7 7 x 8 ex. 3 and 6, the GCF is 3 14 and 21 the GCF is 7
Is any number raised to a even power positive?
yes
What pattern do you discover when solving even-numbered exponents with negative bases?
Any number, positive or negative, raised to an even-numbered power, returns a positive number.
What is the GCF of 2 and any even number?
The GCF of 2 and any even number is 2.
Can two numbers be a GCF?
Any positive number can be a GCF. But for each separate set of numbers, there can only be one.
Is the GCF of any two even numbers is always even?
The GCF of any two odd numbers is always odd. The GCF of any two even numbers is always even. The GCF of an odd and an even number is always odd.
Is the gcf of a odd number and an even number always even?
The GCF of an odd and even number is never even.
What is a pair of numbers to the gcf number 2?
Any consecutive even numbers have a GCF of 2.
What is the LCM and 46 and 2?
The LCM of two and any other positive even number is the other positive even number.
Why is any number raised to a even power positive?
A positive number times a positive number is always positive. A negative number times a negative number is always positive. Therefore, any square number will be positive. Any number to the fourth power (a square times a square) will always be positive. And so on.
What number of negatives do you have to multiply or divide to get a positive answer?
Any even number
What is the greatest factor for 2030?
The greatest factor of any single positive number is the number itself. The GCF of 20 and 30 is 10.
Why is the gcf of any two even numbers always even?
All even numbers have two as a factor. Any two even numbers have (at the least) two as a common factor. That means the GCF of any two even numbers will have two as a factor. Any number that has two as a factor is even.
Why is the gcf of an odd number and an even number always odd?
Because odd numbers don't have any even factors so they can't have any in common.
Is this true or false and why The gcf of any two even numbers is always even?
True. Even numbers are even because they are multiples of 2. That means that any two even numbers will have at least 2 as a common factor. Since that number (the GCF) will have 2 as a factor, it will be a multiple of 2: an even number.
