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Can the greatest common factor of a polynomial be smaller than the lowest coefficient?
Yes.
What are two numbers that have a Greatest Common Factor of 7 and a Least Common Factor of 28?
The greatest common factor can't be a smaller number than the least common factor, but if you meant least common multiple, 7 and 28 have a GCF of 7 and an LCM of 28.
What is the greatest common factor of 254?
254 cannot have a greatest common factor. To have a greatest common factor, there must be more than one number involved
What is the greatest common factor of 225 other than 225?
There is no common factor as you have to have at least 2 numbers to have a "common" factor. The greatest factor of 225 other than 225 is 75
Can the greatest common factor ever be smaller than the smallest coefficient?
No. The smallest coefficient possible is 1, and the smallest GCF is also 1. You cannot have a common factor of zero.
Is the greatest common factor of two numbers is equal to the lesser of the number?
Well, not always. The GCF and LCM of 10 and 10 is 10. But apart from that special circumstance, the statement is true. Apart from a number itself, all of its factors are smaller than it. Apart from a number itself, all of its multiples are larger than it. You can't have a GCF that is greater than the smaller number, and you can't have an LCM that is less than the larger one which means that the LCM of two numbers will never be less than the GCF. Factors go into numbers, numbers go into multiples.
What is the greatest common factor of 2 and 4a?
Since 2 is a factor of 4a and the largest factor of 2 is 2, and thus the greatest common factor cannot be larger than 2, the greatest common factor is 2.
Is the greatest common factor of a pair of numbers always equal to or less?
Always equal to or less than the smaller number, yes.
Is the greatest common factor between two numbers ever bigger then both numbers?
No, it is never bigger than the smaller one.
Is greatest common factor between two numbers ever bigger then both numbers?
No, it is never bigger than the smaller number.
When finding the greatest common factor of a polynomial can it ever be larger than the smallest coefficient?
Yes, the greatest common factor is less than or equal to the smallest coefficient. For example, the greatest common factor of 38 and 8 is 2.
How do you do greatest common factor with 18 and 36?
18 is a factor of 36. It's impossible to have a GCF larger than the smaller number, so 18 must be the GCF.
