Answered

Which of the following prime factorizations represents the greatest common factor of 162, 378, and 414?

2 x 3 ^3
2 x 3 ^4 x 7 x 23
2 x 3 ^2 x 7 x 23
2 x 3 ^2

(P.S. What I'm writing here is irrelevant to the question N.12)

Answer :

Answer:

The greatest common divisor is:

[tex]2\times 3^2[/tex]

Step-by-step explanation:

The greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

162=2×81

     =[tex]2\times 3^4[/tex]

378=[tex]2\times 3^3\times 7[/tex]

and 414=[tex]2\times 3^2\times 23[/tex]

Hence,

The greatest common divisor is:

[tex]2\times 3^2[/tex]

Maccochran47

Answer:

2x3^3

Step-by-step explanation:

Other Questions