What is the Greatest Common Factor of 22000 and 22016?

Greatest common factor (GCF) of 22000 and 22016 is 16.

GCF(22000,22016) = 16

We will now calculate the prime factors of 22000 and 22016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22000 and 22016.

How to find the GCF of 22000 and 22016?

We will first find the prime factorization of 22000 and 22016. After we will calculate the factors of 22000 and 22016 and find the biggest common factor number .

Step-1: Prime Factorization of 22000

Prime factors of 22000 are 2, 5, 11. Prime factorization of 22000 in exponential form is:

22000 = 2⁴ × 5³ × 11¹

Step-2: Prime Factorization of 22016

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

22016 = 2⁹ × 43¹

Step-3: Factors of 22000

List of positive integer factors of 22000 that divides 22000 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 125, 176, 200, 220, 250, 275, 400, 440, 500, 550, 880, 1000, 1100, 1375, 2000, 2200, 2750, 4400, 5500, 11000

Step-4: Factors of 22016

List of positive integer factors of 22016 that divides 22000 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22000 and 22016. The biggest common factor number is the GCF number.
So the greatest common factor 22000 and 22016 is 16.

Also check out the Least Common Multiple of 22000 and 22016