What is the Greatest Common Factor of 54272 and 54276?

Greatest common factor (GCF) of 54272 and 54276 is 4.

GCF(54272,54276) = 4

We will now calculate the prime factors of 54272 and 54276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54272 and 54276.

How to find the GCF of 54272 and 54276?

We will first find the prime factorization of 54272 and 54276. After we will calculate the factors of 54272 and 54276 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 54276

Prime factors of 54276 are 2, 3, 4523. Prime factorization of 54276 in exponential form is:

54276 = 2² × 3¹ × 4523¹

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 54276

List of positive integer factors of 54276 that divides 54272 without a remainder.

1, 2, 3, 4, 6, 12, 4523, 9046, 13569, 18092, 27138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54272 and 54276. The biggest common factor number is the GCF number.
So the greatest common factor 54272 and 54276 is 4.

Also check out the Least Common Multiple of 54272 and 54276