What is the Greatest Common Factor of 55569 and 55584?

Greatest common factor (GCF) of 55569 and 55584 is 3.

GCF(55569,55584) = 3

We will now calculate the prime factors of 55569 and 55584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55569 and 55584.

How to find the GCF of 55569 and 55584?

We will first find the prime factorization of 55569 and 55584. After we will calculate the factors of 55569 and 55584 and find the biggest common factor number .

Step-1: Prime Factorization of 55569

Prime factors of 55569 are 3, 18523. Prime factorization of 55569 in exponential form is:

55569 = 3¹ × 18523¹

Step-2: 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-3: Factors of 55569

List of positive integer factors of 55569 that divides 55569 without a remainder.

1, 3, 18523

Step-4: Factors of 55584

List of positive integer factors of 55584 that divides 55569 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55569 and 55584. The biggest common factor number is the GCF number.
So the greatest common factor 55569 and 55584 is 3.

Also check out the Least Common Multiple of 55569 and 55584