What is the Greatest Common Factor of 54272 and 54290?

Greatest common factor (GCF) of 54272 and 54290 is 2.

GCF(54272,54290) = 2

We will now calculate the prime factors of 54272 and 54290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54272 and 54290.

How to find the GCF of 54272 and 54290?

We will first find the prime factorization of 54272 and 54290. After we will calculate the factors of 54272 and 54290 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 54290

Prime factors of 54290 are 2, 5, 61, 89. Prime factorization of 54290 in exponential form is:

54290 = 2¹ × 5¹ × 61¹ × 89¹

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 54290

List of positive integer factors of 54290 that divides 54272 without a remainder.

1, 2, 5, 10, 61, 89, 122, 178, 305, 445, 610, 890, 5429, 10858, 27145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54272 and 54290. The biggest common factor number is the GCF number.
So the greatest common factor 54272 and 54290 is 2.

Also check out the Least Common Multiple of 54272 and 54290