Question

find the HCF using prime factorization method of the number 45 408 and 28835​

Answer 1

Answer:

1. Find highest common factor (HCF) of 14 and 8 by using prime factorization method.

Solution:

14 = 1 × 2 × 7.

8 = 1 × 2 × 2 × 2.

Common factor of 8 and 14 = 1 and 2.

H.C.F. is the product of lowest powers of factors common to all numbers.

Highest common factor of 8 and 14 = 2.

2. Find highest common factor (HCF) of 9 and 27 by using prime factorization method.

Solution:

9 = 1 × 3 × 3.

27 = 1 × 3 × 3 × 3.

Common factor of 9 and 27 = 1, 3 and 3.

Highest common factor of 9 and 27 = 3 × 3 = 9.

3. Find highest common factor (HCF) of 6 and 16 by using prime factorization method.

Solution:

6 = 1 × 2 × 3.

16 = 1 × 2 × 2 × 2 × 2.

Common factor of 6 and 16 = 2.

Highest common factor of 6 and 16 = 2.

4. Find highest common factor (HCF) of 18 and 24 by using prime factorization method.

Solution:

18 = 1 × 2 × 3 × 3.

24 = 1 × 2 × 2 × 2 × 3.

Common factor of 18 and 24 = 1, 2, 3.

Highest common factor of 18 and 24 = 2 × 3 = 6.

5. Find highest common factor (HCF) of 12 and 56 by using prime factorization method.

Solution:

12 = 1 × 2 × 2 × 3.

56 = 1 × 2 × 2 × 2 × 7.

Common factor of 12 and 56 = 1, 2, 2.

Highest common factor of 12 and 56 = 2 × 2 = 4.

Step-by-step explanation:

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