marcus collects donations and sends care packages to troops overseas. he has 36 bars of soap and 24…

marcus collects donations and sends care packages to troops overseas. he has 36 bars of soap and 24 toothbrushes and wants to arrange the items so the packages are identical. what is the greatest number of packages that marcus can make using all the soap and toothbrushes? what is the greatest number of packages of soap and toothbrushes that marcus can make? marcus can make at most packages.

marcus collects donations and sends care packages to troops overseas. he has 36 bars of soap and 24 toothbrushes and wants to arrange the items so the packages are identical. what is the greatest number of packages that marcus can make using all the soap and toothbrushes? what is the greatest number of packages of soap and toothbrushes that marcus can make? marcus can make at most packages.

Answer

Answer:

12

Explanation:

Step1: Prime - factorize 36

$36 = 2\times2\times3\times3$

Step2: Prime - factorize 24

$24 = 2\times2\times2\times3$

Step3: Find common factors

Common factors are $2\times2\times3$

Step4: Calculate GCF

$2\times2\times3=12$