Chapter CSB1.2, Problem 11E

To determine

To find: The GCF of the numbers given.

Answer to Problem 11E

The GCF is 14.

Explanation of Solution

Given information: The numbers given 42, 56.

Calculation:

Prime factors of 42 are

  $42=1\times 2\times 3\times 7$

Prime factors of 56 are

  $56=1\times 2\times 2\times 2\times 7$

Greatest common factor of 42, 56 is

  $1\times 2\times 7=14$

  $\therefore$ GCF of 42, 56 = 14.