Which of the following pairs of numbers have a greatest common factor of 6? Select all that apply.
A 6 and 3
B 30 and 36
C 24 and 48
D 60 and 88
E 18 and 66
F 72 and 84

9514 1404 393

  B, E

Step-by-step explanation:

The greatest common factor can be found a number of ways. Easiest is to make use of your knowledge of multiplication tables and divisibility rules.

Here, the GCFs are ...

A 6 and 3 --- 3

B 30 and 36 --- 6

C 24 and 48 --- 24

D 60 and 88 --- 4

E 18 and 66 --- 6

F 72 and 84 --- 12

Additional detail on finding the GCF

You can factor numbers to see which factors are common:

  60 = 2^2 × 3 × 5

  88 = 2^3 × 11 . . . . . . . so 2^2 = 4 is the GCF of 60 and 88

You can use the Euclidean algorithm:

  Divide the larger by the smaller and keep the remainder; Replace the larger with the remainder and repeat. If the remainder is zero, the divisor is the GCF.

  84/72 = 1 r 12

  72/12 = 6 r 0 . . . . 12 is the GCF of 72 and 84

25% is the answer