Question

another florist has 16 yellow mums and 40 white carnations. which question can be answered by finding the gcf of 16 and 40?
what is the greatest number of identical groups that can be made with a number of mums and carnations in each
what is the greatest number of white carnations that can be in each group?
how many total number of flowers will be in each group of mums and carnations?
how many different combinations of yellow mums and white carnations can the florist make?

Explanation:

Step1: Find the GCF of 16 and 40

Prime - factorize 16 and 40.
$16 = 2\times2\times2\times2$
$40 = 2\times2\times2\times5$
The common factors are $2\times2\times2$.

Step2: Calculate the GCF

$2\times2\times2=8$

Answer:

The greatest number of identical groups that can be made is 8.