What is the Greatest Common Factor of 54016 and 54033?

Greatest common factor (GCF) of 54016 and 54033 is 1.

GCF(54016,54033) = 1

We will now calculate the prime factors of 54016 and 54033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54016 and 54033.

How to find the GCF of 54016 and 54033?

We will first find the prime factorization of 54016 and 54033. After we will calculate the factors of 54016 and 54033 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 54033

Prime factors of 54033 are 3, 7, 31, 83. Prime factorization of 54033 in exponential form is:

54033 = 3¹ × 7¹ × 31¹ × 83¹

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 54033

List of positive integer factors of 54033 that divides 54016 without a remainder.

1, 3, 7, 21, 31, 83, 93, 217, 249, 581, 651, 1743, 2573, 7719, 18011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54016 and 54033. The biggest common factor number is the GCF number.
So the greatest common factor 54016 and 54033 is 1.

Also check out the Least Common Multiple of 54016 and 54033