519,641 views
23 votes
23 votes
Find the GCF of each pair of monomials 54hg and 18g

User Thinh Vu
by
2.7k points

1 Answer

25 votes
25 votes

GCF is the greatest common factor of two terms

54 and 18 have common factors, let us find the factors of each one and find the common factors

18 = 1 x 18, 2 x 9, 3, x 6, then

Its factors are 1, 2, 3, 6, 9, 18

54 = 1 x 54, 2 x 27, 3 x 18, 6 x 9

Its factors are 1, 2, 3, 6, 9, 18, 27, 54

The common factors of both are

1, 2, 3, 6, 9, 18

The greatest one is 18

Both terms have variable g, then

GCF of them is 18g

The GCF of 54hg and 18g is 18g

User Alexkelbo
by
2.6k points