Final answer:
To find the greatest common factor (GCF) of pairs of numbers or terms, find the largest number or variable that divides evenly into all given numbers or terms. Example solutions: (1) GCF of 8 and 24 is 8. (2) GCF of 9 and 27 is 9. (3) GCF of 2x and 5x is x. (4) GCF of 3x^2 and 6x^3 is 3x^2.
Step-by-step explanation:
The given question asks to identify the greatest common factor (GCF) of each set of numbers:
(1) 8; 24
(2) 9; 27
(3) 2x; 5x
(4) 3x2; 6x3
To find the GCF, we need to find the largest number or variable that divides evenly into all given numbers or terms.
(1) The GCF of 8 and 24 is 8, since 8 is the largest number that divides both 8 and 24.
(2) The GCF of 9 and 27 is 9, since 9 is the largest number that divides both 9 and 27.
(3) The GCF of 2x and 5x is x, since x is the highest power of x that divides both 2x and 5x.
(4) The GCF of 3x2 and 6x3 is 3x2, since 3x2 is the highest power of x that divides both 3x2 and 6x3.