What is the Greatest Common Factor of 22033 and 22044?

Greatest common factor (GCF) of 22033 and 22044 is 11.

GCF(22033,22044) = 11

We will now calculate the prime factors of 22033 and 22044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22033 and 22044.

How to find the GCF of 22033 and 22044?

We will first find the prime factorization of 22033 and 22044. After we will calculate the factors of 22033 and 22044 and find the biggest common factor number .

Step-1: Prime Factorization of 22033

Prime factors of 22033 are 11, 2003. Prime factorization of 22033 in exponential form is:

22033 = 11¹ × 2003¹

Step-2: Prime Factorization of 22044

Prime factors of 22044 are 2, 3, 11, 167. Prime factorization of 22044 in exponential form is:

22044 = 2² × 3¹ × 11¹ × 167¹

Step-3: Factors of 22033

List of positive integer factors of 22033 that divides 22033 without a remainder.

1, 11, 2003

Step-4: Factors of 22044

List of positive integer factors of 22044 that divides 22033 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 167, 334, 501, 668, 1002, 1837, 2004, 3674, 5511, 7348, 11022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22033 and 22044. The biggest common factor number is the GCF number.
So the greatest common factor 22033 and 22044 is 11.

Also check out the Least Common Multiple of 22033 and 22044