What is the gcf and LCM of 12 and 27?

Answer 1

Express the numbers in prime factorisation in power form:

12 = 22 x 31

27 = 33

For gcf multiply together the lowest power of the common primes:

gcf of 12 and 27 = 31 = 3

For LCM multiply together the highest power of all the primes (across the numbers):

LCM of 12 and 27 = 22 x 33 = 108