What is the Greatest Common Factor of 54256 and 54274?

Greatest common factor (GCF) of 54256 and 54274 is 2.

GCF(54256,54274) = 2

We will now calculate the prime factors of 54256 and 54274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54256 and 54274.

How to find the GCF of 54256 and 54274?

We will first find the prime factorization of 54256 and 54274. After we will calculate the factors of 54256 and 54274 and find the biggest common factor number .

Step-1: Prime Factorization of 54256

Prime factors of 54256 are 2, 3391. Prime factorization of 54256 in exponential form is:

54256 = 2⁴ × 3391¹

Step-2: Prime Factorization of 54274

Prime factors of 54274 are 2, 11, 2467. Prime factorization of 54274 in exponential form is:

54274 = 2¹ × 11¹ × 2467¹

Step-3: Factors of 54256

List of positive integer factors of 54256 that divides 54256 without a remainder.

1, 2, 4, 8, 16, 3391, 6782, 13564, 27128

Step-4: Factors of 54274

List of positive integer factors of 54274 that divides 54256 without a remainder.

1, 2, 11, 22, 2467, 4934, 27137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54256 and 54274. The biggest common factor number is the GCF number.
So the greatest common factor 54256 and 54274 is 2.

Also check out the Least Common Multiple of 54256 and 54274