What is the Greatest Common Factor of 54272 and 54289?

Greatest common factor (GCF) of 54272 and 54289 is 1.

GCF(54272,54289) = 1

We will now calculate the prime factors of 54272 and 54289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54272 and 54289.

How to find the GCF of 54272 and 54289?

We will first find the prime factorization of 54272 and 54289. After we will calculate the factors of 54272 and 54289 and find the biggest common factor number .

Step-1: Prime Factorization of 54272

Prime factors of 54272 are 2, 53. Prime factorization of 54272 in exponential form is:

54272 = 2¹⁰ × 53¹

Step-2: Prime Factorization of 54289

Prime factors of 54289 are 233. Prime factorization of 54289 in exponential form is:

54289 = 233²

Step-3: Factors of 54272

List of positive integer factors of 54272 that divides 54272 without a remainder.

1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 256, 424, 512, 848, 1024, 1696, 3392, 6784, 13568, 27136

Step-4: Factors of 54289

List of positive integer factors of 54289 that divides 54272 without a remainder.

1, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54272 and 54289. The biggest common factor number is the GCF number.
So the greatest common factor 54272 and 54289 is 1.

Also check out the Least Common Multiple of 54272 and 54289