What is the gcf of 378,132

First, find the prime factorization of both numbers.

378/2 = 189

189/3 = 63

63/3 = 21

21/3 = 7

7/7 1

378 = 2 * 3^3 * 7

132/2 = 66

66/2 = 33

33/3 = 11

11/11 = 1

132 = 2^2 * 3 * 11

For the GCF, choose the common factors with lower exponent.

378 = 2 * 3^3 * 7

132 = 2^2 * 3 * 11

From 2 and 2^2 choose 2.

From 3 and 3^2 choose 3.

7 and 11 are not common, so do not choose them.

GCF = 2 * 3 = 6