What is the Greatest Common Factor of 55524 and 55543?

Greatest common factor (GCF) of 55524 and 55543 is 1.

GCF(55524,55543) = 1

We will now calculate the prime factors of 55524 and 55543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55524 and 55543.

How to find the GCF of 55524 and 55543?

We will first find the prime factorization of 55524 and 55543. After we will calculate the factors of 55524 and 55543 and find the biggest common factor number .

Step-1: Prime Factorization of 55524

Prime factors of 55524 are 2, 3, 7, 661. Prime factorization of 55524 in exponential form is:

55524 = 2² × 3¹ × 7¹ × 661¹

Step-2: Prime Factorization of 55543

Prime factors of 55543 are 67, 829. Prime factorization of 55543 in exponential form is:

55543 = 67¹ × 829¹

Step-3: Factors of 55524

List of positive integer factors of 55524 that divides 55524 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 661, 1322, 1983, 2644, 3966, 4627, 7932, 9254, 13881, 18508, 27762

Step-4: Factors of 55543

List of positive integer factors of 55543 that divides 55524 without a remainder.

1, 67, 829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55524 and 55543. The biggest common factor number is the GCF number.
So the greatest common factor 55524 and 55543 is 1.

Also check out the Least Common Multiple of 55524 and 55543