Question

I need help with the following please:

A) Two numbers have prime factorizations of 2^2 • 3 • 5 and 2 • 3^2 • 5.

Which expressions will give the greatest common factor and the least common multiple?

GCF 2 • 3; LCM 2 • 3 • 5
GCF 2^2 • 3^2; LCM 2^2 • 3^2 • 5^2
GCF 2 • 3 • 5; LCM 2^2 • 3^2 • 5
GCF 2^2 • 3^2 • 5; LCM 2 • 3
thank u!!

Answer 1

great common factor = common number with minimum power
gcd=gcf(3*5,3^3*5^2)=3^1 *5^1

Answer 2

2^2 • 3 • 5 and 2 • 3^2 • 5
gcd =gcf= 2^1 *3 ^1 *5^1

Answer 3

least common multiple
common with maximum power * others (not common)

Answer 4

thank u!!