Of all the common factors, it's the largest one.
These numbers are co-prime, ie they have no common factor other than 1 which makes their GCF 1.
Two (or more) integers have a common factor - e.g., the greatest common factor of 173 and 100 is 1, or the greatest common factor of 173 and 519 is 173. The question makes no sense with one number. 173 is a prime, by the way.
What makes a greatest common factor "common" is comparing at least two terms and finding something common between them.
By noticing that 100 is a factor of 200. That automatically makes it the GCF.
72 is a single number. Common refers to two or more objects. In the case of common factors, we need two or more numbers to have a common factor. The common or greatest common factor of 72 makes no sense.
Actually, both can be true, but the answer your teacher is probably looking for is "greatest."
i have no clue. i want to know. it makes no sence whatsoever
The greatest common factor of 2 and 3 is 1. This is because 2 and 3 are prime numbers, that is, they only have themselves and one as factors. NOTE: Any time that one of the numbers is a prime number and the other is not a multiple of that prime number, the greatest common factor is 1. Another way to approach this, especially with larger numbers (but this makes a good example) is to look at the difference between 2 and 3, which is 1. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference. If the difference is 1, the greatest common factor is 1.
It used to be called "reducing to lowest terms"; nowadays I think it's called "writing the fractionin simplest form".And by the way ... you don't divide the 'fraction' by the greatest commen factor. You divide the numeratorand denominator separately by their greatest commen factor. It makes a big difference.
The GCF is 1 which makes those numbers relatively prime.
If the greatest common factor/divisor of A and B is 1 then they are coprime - they do not share any prime factors. Multiplying both through by C means, obviously, that each number now divides by C. In fact, C is their greatest common divisor, since AC and BC do not have further common factors after C is taken out. Hence the GCF of AC and BC is not merely a factor of C - it is C. (The question makes sense only if A, B and C are integers.)
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