What is the Greatest Common Factor of 9 and 33?

Greatest common factor (GCF) of 9 and 33 is 3.

GCF(9,33) = 3

We will now calculate the prime factors of 9 and 33, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9 and 33.

How to find the GCF of 9 and 33?

We will first find the prime factorization of 9 and 33. After we will calculate the factors of 9 and 33 and find the biggest common factor number .

Step-1: Prime Factorization of 9

Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:

9 = 3²

Step-2: Prime Factorization of 33

Prime factors of 33 are 3, 11. Prime factorization of 33 in exponential form is:

33 = 3¹ × 11¹

Step-3: Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1, 3

Step-4: Factors of 33

List of positive integer factors of 33 that divides 9 without a remainder.

1, 3, 11

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9 and 33. The biggest common factor number is the GCF number.
So the greatest common factor 9 and 33 is 3.

Also check out the Least Common Multiple of 9 and 33