What is the Greatest Common Factor of 55584 and 55599?

Greatest common factor (GCF) of 55584 and 55599 is 3.

GCF(55584,55599) = 3

We will now calculate the prime factors of 55584 and 55599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55584 and 55599.

How to find the GCF of 55584 and 55599?

We will first find the prime factorization of 55584 and 55599. After we will calculate the factors of 55584 and 55599 and find the biggest common factor number .

Step-1: Prime Factorization of 55584

Prime factors of 55584 are 2, 3, 193. Prime factorization of 55584 in exponential form is:

55584 = 2⁵ × 3² × 193¹

Step-2: Prime Factorization of 55599

Prime factors of 55599 are 3, 43, 431. Prime factorization of 55599 in exponential form is:

55599 = 3¹ × 43¹ × 431¹

Step-3: Factors of 55584

List of positive integer factors of 55584 that divides 55584 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 193, 288, 386, 579, 772, 1158, 1544, 1737, 2316, 3088, 3474, 4632, 6176, 6948, 9264, 13896, 18528, 27792

Step-4: Factors of 55599

List of positive integer factors of 55599 that divides 55584 without a remainder.

1, 3, 43, 129, 431, 1293, 18533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55584 and 55599. The biggest common factor number is the GCF number.
So the greatest common factor 55584 and 55599 is 3.

Also check out the Least Common Multiple of 55584 and 55599