What is the Greatest Common Factor of 54538 and 54554?

Greatest common factor (GCF) of 54538 and 54554 is 2.

GCF(54538,54554) = 2

We will now calculate the prime factors of 54538 and 54554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54538 and 54554.

How to find the GCF of 54538 and 54554?

We will first find the prime factorization of 54538 and 54554. After we will calculate the factors of 54538 and 54554 and find the biggest common factor number .

Step-1: Prime Factorization of 54538

Prime factors of 54538 are 2, 11, 37, 67. Prime factorization of 54538 in exponential form is:

54538 = 2¹ × 11¹ × 37¹ × 67¹

Step-2: Prime Factorization of 54554

Prime factors of 54554 are 2, 27277. Prime factorization of 54554 in exponential form is:

54554 = 2¹ × 27277¹

Step-3: Factors of 54538

List of positive integer factors of 54538 that divides 54538 without a remainder.

1, 2, 11, 22, 37, 67, 74, 134, 407, 737, 814, 1474, 2479, 4958, 27269

Step-4: Factors of 54554

List of positive integer factors of 54554 that divides 54538 without a remainder.

1, 2, 27277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54538 and 54554. The biggest common factor number is the GCF number.
So the greatest common factor 54538 and 54554 is 2.

Also check out the Least Common Multiple of 54538 and 54554