Question

A = 22 x 3 × 5
B = 23 × 32 × 5
Write down the highest common factor (HCF) of A and B.

Answer 1

Answer: 60

Explanation:

To find the highest common factor (HCF) of A and B, you should first factorize both numbers into their prime factors and then determine the common factors.

A:

A = 2² × 3 × 5

B:

B = 2³ × 3² × 5

Now, identify the common prime factors between A and B, and take the lowest exponent for each prime factor:

HCF(A, B) = 2² × 3¹ × 5¹

HCF(A, B) = 4 × 3 × 5

HCF(A, B) = 60

So, the highest common factor (HCF) of A and B is 60.