We first examine the prime factorization of each:
36=2*2*3*3
72=2*2*2*3*3
144=2*2*2*2*3*3
I have bolded all of the factors that they have in common, and the product of those factors is 36.
Another way to look at is to notice that:
36*1=36
36*2=72
36*4=144
And that all of them have 36 as a factor, but this is based more on instinct than method.
tl;dr gcf=36
The GCF of 72 144 and 36 is 36.
GCF (72, 144, 180) = 36
The GCF is 12.
Greatest common factor of 144 and 216 is 72.
The GCF is 72.
The GCF of 72 and 144 is 72. Since 72 is a factor of 144, it is automatically the GCF.
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144The common factors are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72The Greatest Common Factor (GCF) is: 72
The Greatest Common Factor (GCF) is: 36
It is: 72
The GCF of 144 and 252 is 36
The GCF is: 72
The GCF of 72 and 36 is equal to 36.