What is the Greatest Common Factor of 55584 and 55588?

Greatest common factor (GCF) of 55584 and 55588 is 4.

GCF(55584,55588) = 4

We will now calculate the prime factors of 55584 and 55588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55584 and 55588.

How to find the GCF of 55584 and 55588?

We will first find the prime factorization of 55584 and 55588. After we will calculate the factors of 55584 and 55588 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 55588

Prime factors of 55588 are 2, 13, 1069. Prime factorization of 55588 in exponential form is:

55588 = 2² × 13¹ × 1069¹

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 55588

List of positive integer factors of 55588 that divides 55584 without a remainder.

1, 2, 4, 13, 26, 52, 1069, 2138, 4276, 13897, 27794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55584 and 55588. The biggest common factor number is the GCF number.
So the greatest common factor 55584 and 55588 is 4.

Also check out the Least Common Multiple of 55584 and 55588