What is the Greatest Common Factor of 54537 and 54549?

Greatest common factor (GCF) of 54537 and 54549 is 3.

GCF(54537,54549) = 3

We will now calculate the prime factors of 54537 and 54549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54537 and 54549.

How to find the GCF of 54537 and 54549?

We will first find the prime factorization of 54537 and 54549. After we will calculate the factors of 54537 and 54549 and find the biggest common factor number .

Step-1: Prime Factorization of 54537

Prime factors of 54537 are 3, 7, 53. Prime factorization of 54537 in exponential form is:

54537 = 3¹ × 7³ × 53¹

Step-2: Prime Factorization of 54549

Prime factors of 54549 are 3, 11, 19, 29. Prime factorization of 54549 in exponential form is:

54549 = 3² × 11¹ × 19¹ × 29¹

Step-3: Factors of 54537

List of positive integer factors of 54537 that divides 54537 without a remainder.

1, 3, 7, 21, 49, 53, 147, 159, 343, 371, 1029, 1113, 2597, 7791, 18179

Step-4: Factors of 54549

List of positive integer factors of 54549 that divides 54537 without a remainder.

1, 3, 9, 11, 19, 29, 33, 57, 87, 99, 171, 209, 261, 319, 551, 627, 957, 1653, 1881, 2871, 4959, 6061, 18183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54537 and 54549. The biggest common factor number is the GCF number.
So the greatest common factor 54537 and 54549 is 3.

Also check out the Least Common Multiple of 54537 and 54549