Question

Which of the following is the greatest common factor of 38 and 57?

Answer 1

the answer is 19

hope this helps.

Answer 2

The greatest common factor of 38 and 57 is 19.

Solution:

Given that the two numbers are 38 and 57. We need to find the greatest common factor of these two numbers.

G.C.D means the greatest factor of the two given numbers.

To find the greatest common factor, we need to find the prime factors of the individual numbers.

The prime factors of 38 =
`2 * 19`

The prime factors of 57 =
`3 * 19`

Here 19 is a common factor in both 38 and 57

Therefore the greatest common factor of 38 and 57 is 19