Question

Find the HCF of 15 and 24 using prime factorisation.

Answer 1

Prime Factorization of 15

Prime factors of 15 are 3,5. Prime factorization of 15 in exponential form is:

15 = 31×51

Prime Factorization of 24

Prime factors of 24 are 2,3. Prime factorization of 24 in exponential form is:

24 = 23×31

∴ So by taking common prime factors GCF of 15 and 24 is 3

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Answer 2

Answer:

HCF of the given number will be 3

Step-by-step explanation:

In context to question asked,

We have to determine the HCF

As per question,

We have,

15, 24

As it is mentioned to determine the HCF by using prime factorisation method.

We know that,

• HCF of two or more number is that particular number which is the highest common factors of all the given number.
• Prime factorisation method is the method in which we convert the given number as a factors of prime numbers.
• Prime numbers are those numbers which are either divisible by 1 or itself.
• HCF of any prime number is always 1

So, converting the given number in form of prime numbers,

We will get,

$15 = 3 \times 5\\24 = 2 \times 2 \times 3 \times 2\\=>HCF= 3 (Common\:Numbers)$