Question

Candice is making some party bags for her birthday party she has 96 stickers and 80 boxes of cookies she wants each party bags to be the same and she wants to use all of the stickers and cookie find the GCF of 96 and 80 to figure out how many party bags she can make

Answer 1

the greatest common factor 80 and 96 is 16. And so 16 party bags she can make .

Step-by-step explanation:

Here we have , Candice is making some party bags for her birthday party she has 96 stickers and 80 boxes of cookies she wants each party bags to be the same and she wants to use all of the stickers and cookie  . we need to find how many party bags she can make . Let's find out:

Let's calculate GCF of 96 & 80 as :

Prime factors of 96 are :

⇒ $2^5(3)^1$

Prime factors of 80 are :

⇒ $2^4(5)^1$

Therefore , GCF is common factor of Prime factors of 96 and Prime factors of 80 i.e. $2^4 = 16$ .

We found the factors and prime factorization of 80 and 96. The biggest common factor number is the GCF number.  So the greatest common factor 80 and 96 is 16.