Factors of 24 = 2 x 2 x 2 x 3

Factors of 36 = 2 x 2 x 3 x 3

Common factors = 2 ,2,3

H.C.F = 2 x 2 x 3 = 12

We can use factor tree method or prime factorization method to find the factors of the given numbers.

1) Find the largest number which divides 245 and 1029 leaving the remainder 5 in each case.

245 -5 =240 and 1029 -5 = 1024

As we have to find the largest number that means we have to find the GCF of 240 and 1024.

Common factors are 2,2,2,2

So GCF = 16

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2)Two tankers contain 850 liters and 680 liters of petrol respectively. Find the maximum capacity of a container which can measure the petrol of either tanker in exact number of times.

Therefore , the maximum capacity of the container is the GCF of 850 and 680 in liters.

(use any method to find GCF) So the GCF of 850 and 680 is 170.

So the capacity of the container = 170 liters.

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3)Reduce 289/391

So GCF of 289 and 391 is 17

(289 ÷17) /(391÷17) = 17/23

• Prime and Composite Numbers

• Divisibility rules

• Prime Factorization

• HCF or G.C.F

• L.C.M

• Application on LCM

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