What is the Greatest Common Factor of 54016 and 54024?

Greatest common factor (GCF) of 54016 and 54024 is 8.

GCF(54016,54024) = 8

We will now calculate the prime factors of 54016 and 54024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54016 and 54024.

How to find the GCF of 54016 and 54024?

We will first find the prime factorization of 54016 and 54024. After we will calculate the factors of 54016 and 54024 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 54024

Prime factors of 54024 are 2, 3, 2251. Prime factorization of 54024 in exponential form is:

54024 = 2³ × 3¹ × 2251¹

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 54024

List of positive integer factors of 54024 that divides 54016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2251, 4502, 6753, 9004, 13506, 18008, 27012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54016 and 54024. The biggest common factor number is the GCF number.
So the greatest common factor 54016 and 54024 is 8.

Also check out the Least Common Multiple of 54016 and 54024