What is the Greatest Common Factor of 54524 and 54538?

Greatest common factor (GCF) of 54524 and 54538 is 2.

GCF(54524,54538) = 2

We will now calculate the prime factors of 54524 and 54538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54524 and 54538.

How to find the GCF of 54524 and 54538?

We will first find the prime factorization of 54524 and 54538. After we will calculate the factors of 54524 and 54538 and find the biggest common factor number .

Step-1: Prime Factorization of 54524

Prime factors of 54524 are 2, 43, 317. Prime factorization of 54524 in exponential form is:

54524 = 2² × 43¹ × 317¹

Step-2: 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-3: Factors of 54524

List of positive integer factors of 54524 that divides 54524 without a remainder.

1, 2, 4, 43, 86, 172, 317, 634, 1268, 13631, 27262

Step-4: Factors of 54538

List of positive integer factors of 54538 that divides 54524 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54524 and 54538. The biggest common factor number is the GCF number.
So the greatest common factor 54524 and 54538 is 2.

Also check out the Least Common Multiple of 54524 and 54538