Math, asked by Anonymous, 9 months ago

Find the HCF of 36, 60 by prime factorization method:​

Answers

Answered by BeautifulElsa
24

Answer:

How to find the GCF of 36 and 60

The prime factorization of 36 is: 2 x 2 x 3 x 3.

The prime factorization of 60 is: 2 x 2 x 3 x 5.

The prime factors and multiplicities 36 and 60 have in common are: 2 x 2 x 3.

2 x 2 x 3 is the gcf of 36 and 60.

gcf(36,60) = 12.

Step-by-step explanation:

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Answered by amitnrw
0

Given :  36 and  60

To Find : HCF of 36, 60 by prime factorization method:​

Solution:

36 = 2 * 2 * 3 * 3

=> 36 = 2² * 3²

60 = 2 * 2 * 3 * 5

=> 60 = 2² * 3¹ * 5¹

HCF = Highest common Factor

HCF = product of common factors of least power

HCF =  2² * 3¹

= 4 * 3

= 12

Hence 12 is the HCF

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