What is the Greatest Common Factor of 54272 and 54284?

Greatest common factor (GCF) of 54272 and 54284 is 4.

GCF(54272,54284) = 4

We will now calculate the prime factors of 54272 and 54284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54272 and 54284.

How to find the GCF of 54272 and 54284?

We will first find the prime factorization of 54272 and 54284. After we will calculate the factors of 54272 and 54284 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 54284

Prime factors of 54284 are 2, 41, 331. Prime factorization of 54284 in exponential form is:

54284 = 2² × 41¹ × 331¹

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 54284

List of positive integer factors of 54284 that divides 54272 without a remainder.

1, 2, 4, 41, 82, 164, 331, 662, 1324, 13571, 27142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54272 and 54284. The biggest common factor number is the GCF number.
So the greatest common factor 54272 and 54284 is 4.

Also check out the Least Common Multiple of 54272 and 54284