What is the Greatest Common Factor of 54548 and 54561?

Greatest common factor (GCF) of 54548 and 54561 is 13.

GCF(54548,54561) = 13

We will now calculate the prime factors of 54548 and 54561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54548 and 54561.

How to find the GCF of 54548 and 54561?

We will first find the prime factorization of 54548 and 54561. After we will calculate the factors of 54548 and 54561 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54561

Prime factors of 54561 are 3, 13, 1399. Prime factorization of 54561 in exponential form is:

54561 = 3¹ × 13¹ × 1399¹

Step-3: Factors of 54548

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

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

Step-4: Factors of 54561

List of positive integer factors of 54561 that divides 54548 without a remainder.

1, 3, 13, 39, 1399, 4197, 18187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54548 and 54561. The biggest common factor number is the GCF number.
So the greatest common factor 54548 and 54561 is 13.

Also check out the Least Common Multiple of 54548 and 54561