What is the Greatest Common Factor of 55584 and 55600?

Greatest common factor (GCF) of 55584 and 55600 is 16.

GCF(55584,55600) = 16

We will now calculate the prime factors of 55584 and 55600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55584 and 55600.

How to find the GCF of 55584 and 55600?

We will first find the prime factorization of 55584 and 55600. After we will calculate the factors of 55584 and 55600 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 55600

Prime factors of 55600 are 2, 5, 139. Prime factorization of 55600 in exponential form is:

55600 = 2⁴ × 5² × 139¹

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 55600

List of positive integer factors of 55600 that divides 55584 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 139, 200, 278, 400, 556, 695, 1112, 1390, 2224, 2780, 3475, 5560, 6950, 11120, 13900, 27800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55584 and 55600. The biggest common factor number is the GCF number.
So the greatest common factor 55584 and 55600 is 16.

Also check out the Least Common Multiple of 55584 and 55600