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BECE Mathematics 2015 Paper

Question : 5

Total: 40

Solution:

Concept:

The Highest Common Factor (H.C.F.) is the product of the common prime factors raised to their lowest powers.

Explanation:

Write each number as a product of prime factors:

24 = 2^3 \times 3

42 = 2 \times 3 \times 7

72 = 2^3 \times 3^2

The common prime factors in all three numbers are

2

and

3

The lowest power of

2

2^1

and the lowest power of

3

3^1

Therefore, H.C.F.

= 2 \times 3 = 6

Answer:

Option B.

6

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