Question

Find the HCF of 5217 and 6063?
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Answer 1

Answer:

Prime Factorization of 5217

3 5217

37 1739

47 47

1

Prime factors of 5217 are 3,37,47. Prime factorization of 5217 in exponential form is:

5217 = 31×371×471

Prime Factorization of 6063

3 6063

43 2021

47 47

1

Prime factors of 6063 are 3,43,47. Prime factorization of 6063 in exponential form is:

6063 = 31×431×471

∴ So by taking common prime factors GCF of 5217 and 6063 is 141

Step-by-step explanation:

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Answer 2

Answer:

The HCF (Highest Common Factor) of 5217 and 6063 is 141.

Step-by-step explanation:

We can calculate HCF with two methods:-

1. Prime factorization method
2. Matching factors method

First, we will solve with the Matching factors method:-

Step 1:- Factors of 5217

List of fine integer elements of 5217 that divides 5217 without a remainder.

1, 3, 37, 47, 111, 141, 1739, 5217

Step 2:- Factors of 6063

List of fine integer elements of 6063 that divides 6063 without a remainder.

1, 3, 43, 47, 129, 141, 2021, 6063

Step 3:- Highest Common Factor

We found the elements and prime factorization of 5217 and 6063. The most important commonplace element range is the HCF.

∴ So the Highest Common Factor of 5217 and 6063 is 141.

Now, we will solve this with the Prime factorization method:-

Step 1:- Find the Prime Factorization of 5217

Prime factors of 5217 are 3,37,47. Prime factorization of 5217 in exponential shape is:-

5217 = 3×37×47

Step 2:- Just like step one, we will find the Prime Factorization of 6063

Prime factors of 6063 are 3,43,47. Prime factorization of 6063 in exponential shape is:-

6063 = 3×43×47

∴ So through taking common prime factors, HCF of 5217 and 6063 is 141.

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