What is the Greatest Common Factor of 54272 and 54283?

Greatest common factor (GCF) of 54272 and 54283 is 1.

GCF(54272,54283) = 1

We will now calculate the prime factors of 54272 and 54283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54272 and 54283.

How to find the GCF of 54272 and 54283?

We will first find the prime factorization of 54272 and 54283. After we will calculate the factors of 54272 and 54283 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 54283

Prime factors of 54283 are 19, 2857. Prime factorization of 54283 in exponential form is:

54283 = 19¹ × 2857¹

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 54283

List of positive integer factors of 54283 that divides 54272 without a remainder.

1, 19, 2857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54272 and 54283. The biggest common factor number is the GCF number.
So the greatest common factor 54272 and 54283 is 1.

Also check out the Least Common Multiple of 54272 and 54283