find the greatest number that divides 36 and 60 without leaving a remainder​

Mathematics · College · Mon Jan 18 2021

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To find the greatest number that divides 36 and 60 without leaving a remainder​, we have to find the GCF of 36 and 60.

So, factors of 36 and 60 :

36 = 2 × 2 × 3 × 3

60 = 2 × 2 × 3 × 5

So, GCF = 2 × 2 × 3 

= 12
 

So, 12 is the greatest number that divide both 36 and 60 without leaving a remainder.