What is the Greatest Common Factor of 55584 and 55603?

Greatest common factor (GCF) of 55584 and 55603 is 1.

GCF(55584,55603) = 1

We will now calculate the prime factors of 55584 and 55603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55584 and 55603.

How to find the GCF of 55584 and 55603?

We will first find the prime factorization of 55584 and 55603. After we will calculate the factors of 55584 and 55603 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 55603

Prime factors of 55603 are 55603. Prime factorization of 55603 in exponential form is:

55603 = 55603¹

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 55603

List of positive integer factors of 55603 that divides 55584 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55584 and 55603. The biggest common factor number is the GCF number.
So the greatest common factor 55584 and 55603 is 1.

Also check out the Least Common Multiple of 55584 and 55603