Question

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

a) 2 • 3^3
b) 2 • 3^4 • 7 • 23
c) 2 • 3^2 • 7 • 23
d) 2 • 3^2

Answer 1

@Mariamikayla

Answer 2

162|2
81|3
27|3
9|3
3|3
1

162=3^4*2

378|2
189|3
63|3
21|3
7|7
1

378=2*3^3 * 7

414|2
207|3
69|3
23|23
1

414=2* 3^2 * 23

GCF= 2* 3^2= 2* 9=18

Answer 3

you are sure you've written corect the variants?

Answer 4

so i fixed it

Answer 5

@Mariamikayla

Answer 6

it's variant d)