what is the gcf of 24,36,72?

uhhh i think 72

Right!

I think 72 is the LCM, least common multile, not GCF, greatest common factor.

type

LCM, least common multiple

Oops! I was wrong, Quidditch is right.

so what is the gcf?

Factors of 72:

1, 72, 2, 36, 3, 24, 4, 18, 6, 12, 8, 9

Which of those numbers also goes into 24 and 36? Which is largest?

is it 12?

Yes, you are correct!

To find the greatest common factor (GCF) of 24, 36, and 72, we can use a method called prime factorization.

Step 1: Prime factorize each number
24 can be written as 2^3 × 3^1
36 can be written as 2^2 × 3^2
72 can be written as 2^3 × 3^2

Step 2: Identify the common prime factors
The common prime factors among the three numbers are 2 raised to the power of the smallest exponent (2^2), and 3 raised to the power of the smallest exponent (3^1).

Step 3: Multiply the common prime factors
Multiplying the common prime factors, we get GCF = 2^2 × 3^1 = 4 × 3 = 12.

Therefore, the greatest common factor (GCF) of 24, 36, and 72 is 12.