What is the Greatest Common Factor of 54004 and 54016?

Greatest common factor (GCF) of 54004 and 54016 is 4.

GCF(54004,54016) = 4

We will now calculate the prime factors of 54004 and 54016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54004 and 54016.

How to find the GCF of 54004 and 54016?

We will first find the prime factorization of 54004 and 54016. After we will calculate the factors of 54004 and 54016 and find the biggest common factor number .

Step-1: Prime Factorization of 54004

Prime factors of 54004 are 2, 23, 587. Prime factorization of 54004 in exponential form is:

54004 = 2² × 23¹ × 587¹

Step-2: Prime Factorization of 54016

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

54016 = 2⁸ × 211¹

Step-3: Factors of 54004

List of positive integer factors of 54004 that divides 54004 without a remainder.

1, 2, 4, 23, 46, 92, 587, 1174, 2348, 13501, 27002

Step-4: Factors of 54016

List of positive integer factors of 54016 that divides 54004 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54004 and 54016. The biggest common factor number is the GCF number.
So the greatest common factor 54004 and 54016 is 4.

Also check out the Least Common Multiple of 54004 and 54016