What is the Greatest Common Factor of 55584 and 55590?

Greatest common factor (GCF) of 55584 and 55590 is 6.

GCF(55584,55590) = 6

We will now calculate the prime factors of 55584 and 55590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55584 and 55590.

How to find the GCF of 55584 and 55590?

We will first find the prime factorization of 55584 and 55590. After we will calculate the factors of 55584 and 55590 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 55590

Prime factors of 55590 are 2, 3, 5, 17, 109. Prime factorization of 55590 in exponential form is:

55590 = 2¹ × 3¹ × 5¹ × 17¹ × 109¹

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 55590

List of positive integer factors of 55590 that divides 55584 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 109, 170, 218, 255, 327, 510, 545, 654, 1090, 1635, 1853, 3270, 3706, 5559, 9265, 11118, 18530, 27795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55584 and 55590. The biggest common factor number is the GCF number.
So the greatest common factor 55584 and 55590 is 6.

Also check out the Least Common Multiple of 55584 and 55590