Question

What is the greatest common factor of 8x and 40y?

Answer 1

The greatest common factor of $8x$ and $40y$ is 8.

Given: $8x \ and \ 40y$

To find: The greatest common factor of  $8x \ and \ 40y$

Solution:

Using prime factorization method, given numbers can be expressed as:

$8x$ = 2 × 2 × 2 × $x$

$40y$ = 2 × 2 × 2 × 5 × $y$

To find the greatest common factor i.e., HCF, we multiply the common factors taken from all the given numbers.

∴ Taking 2 as common from both the numbers thrice as both the numbers have 2 in common three times.

HCF = 2 × 2 × 2 = 8

Hence, the greatest common factor of  $8x \ and \ 40y$ is 8.

Project code - #SPJ3