What is the Greatest Common Factor of 55509 and 55524?

Greatest common factor (GCF) of 55509 and 55524 is 3.

GCF(55509,55524) = 3

We will now calculate the prime factors of 55509 and 55524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55509 and 55524.

How to find the GCF of 55509 and 55524?

We will first find the prime factorization of 55509 and 55524. After we will calculate the factors of 55509 and 55524 and find the biggest common factor number .

Step-1: Prime Factorization of 55509

Prime factors of 55509 are 3, 18503. Prime factorization of 55509 in exponential form is:

55509 = 3¹ × 18503¹

Step-2: 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-3: Factors of 55509

List of positive integer factors of 55509 that divides 55509 without a remainder.

1, 3, 18503

Step-4: Factors of 55524

List of positive integer factors of 55524 that divides 55509 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55509 and 55524. The biggest common factor number is the GCF number.
So the greatest common factor 55509 and 55524 is 3.

Also check out the Least Common Multiple of 55509 and 55524