Find the greatest common factor of 17 and 51.(1 point)

Responses

3
3

51
51

1
1

17

1 answer

To find the greatest common factor (GCF) of 17 and 51, we can start by identifying the factors of both numbers.

  • The factors of 17 are: 1, 17 (since 17 is a prime number).
  • The factors of 51 are: 1, 3, 17, 51 (since \(51 = 3 \times 17\)).

The common factors of 17 and 51 are: 1 and 17.

The greatest of these common factors is 17.

Therefore, the greatest common factor of 17 and 51 is 17.