What is the Greatest Common Factor of 21999 and 22016?

Greatest common factor (GCF) of 21999 and 22016 is 1.

GCF(21999,22016) = 1

We will now calculate the prime factors of 21999 and 22016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21999 and 22016.

How to find the GCF of 21999 and 22016?

We will first find the prime factorization of 21999 and 22016. After we will calculate the factors of 21999 and 22016 and find the biggest common factor number .

Step-1: Prime Factorization of 21999

Prime factors of 21999 are 3, 7333. Prime factorization of 21999 in exponential form is:

21999 = 3¹ × 7333¹

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 21999

List of positive integer factors of 21999 that divides 21999 without a remainder.

1, 3, 7333

Step-4: Factors of 22016

List of positive integer factors of 22016 that divides 21999 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 21999 and 22016. The biggest common factor number is the GCF number.
So the greatest common factor 21999 and 22016 is 1.

Also check out the Least Common Multiple of 21999 and 22016