Final answer:
The GCF of x and y is 161, while the LCM is 53940.
Step-by-step explanation:
GCF(X,Y)
To find the greatest common factor (GCF) of x and y, we need to determine the common prime factors between the two numbers and then multiply them together.
In this case, the common prime factors between x and y are 7 and 23. So, GCF(x,y) = 7 * 23 = 161.
LCM(X,Y)
To find the least common multiple (LCM) of x and y, we need to determine the highest powers of each prime factor that appear in the prime factorizations of x and y, and then multiply them together.
In this case, the prime factors and their highest powers in x are 7^1, 23^1, and 33^1, while in y they are 5^2, 7^1, and 23^1. So, LCM(x,y) = 5^2 * 7^1 * 23^1 * 33^1 = 53940.
Learn more about Finding GCF and LCM