What is the Greatest Common Factor of 54016 and 54022?

Greatest common factor (GCF) of 54016 and 54022 is 2.

GCF(54016,54022) = 2

We will now calculate the prime factors of 54016 and 54022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54016 and 54022.

How to find the GCF of 54016 and 54022?

We will first find the prime factorization of 54016 and 54022. After we will calculate the factors of 54016 and 54022 and find the biggest common factor number .

Step-1: Prime Factorization of 54016

Prime factors of 54016 are 2, 211. Prime factorization of 54016 in exponential form is:

54016 = 2⁸ × 211¹

Step-2: Prime Factorization of 54022

Prime factors of 54022 are 2, 27011. Prime factorization of 54022 in exponential form is:

54022 = 2¹ × 27011¹

Step-3: Factors of 54016

List of positive integer factors of 54016 that divides 54016 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 211, 256, 422, 844, 1688, 3376, 6752, 13504, 27008

Step-4: Factors of 54022

List of positive integer factors of 54022 that divides 54016 without a remainder.

1, 2, 27011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54016 and 54022. The biggest common factor number is the GCF number.
So the greatest common factor 54016 and 54022 is 2.

Also check out the Least Common Multiple of 54016 and 54022