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How do you prove that if the greatest common factor of A and B equals 1 and C does not equal 0 then the greatest common factor of AC and BC divides C?
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.)
What is the greatest common factor of B and C?
Variables can have any value. That's an infinite number of factors.
What greatest common factor of 60 and C?
Since C can be any number, the answer can be any factor of 60.
How do you factor 14cd - 7c?
To factor out the greatest common factor from the given expression 14cd - 7c, we first identify the common factors of the coefficients and variables. The greatest common factor of 14 and 7 is 7, and the common factor of c is c. Therefore, we can factor out 7c from both terms to get 7c(2d - 1).
What is the greatest common factor of A 60 B 105 and C 165?
The GCF of those numbers is 15.
