Question

while creating links for users, a developer finds that the links can be organized into multiples of the same purpose. in total, the developer discovered 36 links to troubleshooting tips, 45 links to external sources, and 72 links to internal sources. the developer wants to create nice orderly groupings of the same size by purpose, but the developer also wants all the groupings to be the same size regardless of purpose. how many links will need to be in each grouping then? to calculate the greatest common factor (gcf), find the prime factorization and multiply together the factors that the numbers share. multiply together only the shared prime factors. (you do not need to include the units. only enter the number value for an answer.)

Explanation:

Step1: Prime - factorize numbers

$36 = 2^2\times3^2$, $45 = 3^2\times5$, $72 = 2^3\times3^2$

Step2: Find common prime factors

Common prime factors are $3^2$.

Step3: Calculate GCF

$3^2=9$

Answer:

9