What is the Greatest Common Factor of 22016 and 22034?

Greatest common factor (GCF) of 22016 and 22034 is 2.

GCF(22016,22034) = 2

We will now calculate the prime factors of 22016 and 22034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22016 and 22034.

How to find the GCF of 22016 and 22034?

We will first find the prime factorization of 22016 and 22034. After we will calculate the factors of 22016 and 22034 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 22034

Prime factors of 22034 are 2, 23, 479. Prime factorization of 22034 in exponential form is:

22034 = 2¹ × 23¹ × 479¹

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 22034

List of positive integer factors of 22034 that divides 22016 without a remainder.

1, 2, 23, 46, 479, 958, 11017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22016 and 22034. The biggest common factor number is the GCF number.
So the greatest common factor 22016 and 22034 is 2.

Also check out the Least Common Multiple of 22016 and 22034