Question

Use prime factorisation method to determine the HCF of 520 and 1430.

Answer 1

Given numbers are $520$ and $1430$.

To find out: The HCF of the given numbers.

We can represent the given numbers as the product of their prime factors as:

$520=2\times 2\times 2\times 5\times 13$

$1430=2\times 5\times 11\times 13$

Now, the HCF of the numbers is the product of the prime factors common between them.

$\therefore HCF(520,1430)=2\times 5\times 13=130$

Hence, the HCF of $520$ and $1430$ is $130$.