Explain why the greatest common factor of two numbers is sometimes 1.

Mathematics

2 answers:

Lady_Fox [76]3 years ago

8 0

Step-by-step explanation:

The greatest common factor of two numbers is sometimes 1 when they are coprime to each other.

Coprime numbers are those numbers who are relatively prime.

Now, prime numbers are those numbers who are divisible by 1 and itself only.

So, eventually when we going to find the greatest common factor of two prime numbers it comes out to be 1 only.

For example, we takes two numbers 2 and 5 ,

Factor of 2 = 1,2

Factor of 5= 1,5

So , 1 is only common factor between them.

rjkz [21]3 years ago

5 0

Because one of the numbers can be prime numbers, for example the greatest common factor of 12 and 13 it's 1 because 13 it's a prime number or because they don't have common prime factors.Prime numbers are the numbers who can be divided just by 1 and themselves.

You might be interested in

The roof of the building shown below has a span of 48 feet. The rafters upon which the roof is laid are 30 feet long, including

anyanavicka [17]

Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

$=\frac{48}{2}$