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

Question

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

Zarkon · Answer

I assume the two numbers are $2^2\cdot 3\cdot 5$ and $2\cdot 3^2\cdot 5$

Falconmaster · Answer

yes

Zarkon · Answer

the GCD (GCF as you call it) ar just the numbers they have in common...in this case one 2 one 3 and one 5

ie $2\cdot 3\cdot 5$

the LCM are the numbers with the highest powers between the two numbers

ie $2^2\cdot 3^2\cdot 5$