What is the Greatest Common Factor of 54538 and 54548?

Greatest common factor (GCF) of 54538 and 54548 is 2.

GCF(54538,54548) = 2

We will now calculate the prime factors of 54538 and 54548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54538 and 54548.

How to find the GCF of 54538 and 54548?

We will first find the prime factorization of 54538 and 54548. After we will calculate the factors of 54538 and 54548 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 54548

Prime factors of 54548 are 2, 13, 1049. Prime factorization of 54548 in exponential form is:

54548 = 2² × 13¹ × 1049¹

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 54548

List of positive integer factors of 54548 that divides 54538 without a remainder.

1, 2, 4, 13, 26, 52, 1049, 2098, 4196, 13637, 27274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54538 and 54548. The biggest common factor number is the GCF number.
So the greatest common factor 54538 and 54548 is 2.

Also check out the Least Common Multiple of 54538 and 54548