Question

find the HCF of 36 and 48 by listing factors​

Answer 1

Answer:

Prime Factorization of 36

Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:

36 = 22 × 32

Prime Factorization of 48

Prime factors of 48 are 2, 3. Prime factorization of 48 in exponential form is:

48 = 24 × 31

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18

Factors of 48

List of positive integer factors of 48 that divides 36 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24

Greatest Common Factor

We found the factors and prime factorization of 36 and 48. The biggest common factor number is the GCF number.

So the greatest common factor 36 and 48 is 12.

Answer 2

Given :-

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• Find the HCF of 36 and 48 by listing factors

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To Find :-

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• The HCF of 36 and 48 by listing factors

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STEP BY STEP EXPLANATION :-

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Factors of 36 are

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1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36

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Factors of 48 are

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1 , 2, 3 , 4 , 6 , 8 , 12 , 16 , 24 ,48

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Thus, the common factors of 36 and 48 are

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1 , 2 , 3 , 4 , 6 , 12

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The highest of the common factors 12.

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$\therefore$Hence, the HCF of 36 and 48 is 12

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ᗩᗪᗪITIOᑎᗩᒪ IᑎᖴOᖇᗰᗩTIOᑎ :-

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Prime factorisation

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We follow the steps given below to find the HCF of the given numbers.

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Step 1 - find the prime factorisation of the given numbers

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Step 2 - Identity the common prime factors and encircle them

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Step 3 - Find the product of all the common prime factors to obtain the HCF of the given numbers