What is the Greatest Common Factor of 22016 and 22033?

Greatest common factor (GCF) of 22016 and 22033 is 1.

GCF(22016,22033) = 1

We will now calculate the prime factors of 22016 and 22033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22016 and 22033.

How to find the GCF of 22016 and 22033?

We will first find the prime factorization of 22016 and 22033. After we will calculate the factors of 22016 and 22033 and find the biggest common factor number .

Step-1: Prime Factorization of 22016

Prime factors of 22016 are 2, 43. Prime factorization of 22016 in exponential form is:

22016 = 2⁹ × 43¹

Step-2: Prime Factorization of 22033

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

22033 = 11¹ × 2003¹

Step-3: Factors of 22016

List of positive integer factors of 22016 that divides 22016 without a remainder.

1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 256, 344, 512, 688, 1376, 2752, 5504, 11008

Step-4: Factors of 22033

List of positive integer factors of 22033 that divides 22016 without a remainder.

1, 11, 2003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22016 and 22033. The biggest common factor number is the GCF number.
So the greatest common factor 22016 and 22033 is 1.

Also check out the Least Common Multiple of 22016 and 22033