What is the Greatest Common Factor of 54016 and 54029?

Greatest common factor (GCF) of 54016 and 54029 is 1.

GCF(54016,54029) = 1

We will now calculate the prime factors of 54016 and 54029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54016 and 54029.

How to find the GCF of 54016 and 54029?

We will first find the prime factorization of 54016 and 54029. After we will calculate the factors of 54016 and 54029 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 54029

Prime factors of 54029 are 97, 557. Prime factorization of 54029 in exponential form is:

54029 = 97¹ × 557¹

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 54029

List of positive integer factors of 54029 that divides 54016 without a remainder.

1, 97, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54016 and 54029. The biggest common factor number is the GCF number.
So the greatest common factor 54016 and 54029 is 1.

Also check out the Least Common Multiple of 54016 and 54029