Question

Which of the following pairs of numbers have a greatest common factor of 6?1. 6 and 32. 30 and 363. 24 and 484. 60 and 885. 18 and 666. 72 and 84:

Answer 1

EXPLANATION

The greatest common of pairs is:

6 and 3:

Prime factorization of 6: 2*3

Prime factorization of 3: 3

The prime factors common to 6,3 are

=3 [Not a valid option]

30 and 36:

Prime factorization of 30: 2*3*5

Prime factorization of 36: 2*2*3*3

The prime factors common to 30,36 are

=2*3=6 [Valid option]

24 and 48:

Prime factorization of 24: 2*2*2*3

Prime factorization of 48: 2*2*2*2*3*3

The prime factors common to 24,48 are

=2*2*2*3=24 [Not a valid option]

60 and 88:

The prime factors common to 60,88 are

=2*2=4 [Not a valid option]

18 and 66:

The prime factors common to 18,66 are

=2*3=6 [Valid option]

72 and 84:

The prime factors common to 72,84 are

=2*2*3=12 [Valid option]

The right options are 2. 30 and 36 and 5. 18 and 66