What is the Greatest Common Factor of 55200 and 55219?

Greatest common factor (GCF) of 55200 and 55219 is 1.

GCF(55200,55219) = 1

We will now calculate the prime factors of 55200 and 55219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55200 and 55219.

How to find the GCF of 55200 and 55219?

We will first find the prime factorization of 55200 and 55219. After we will calculate the factors of 55200 and 55219 and find the biggest common factor number .

Step-1: Prime Factorization of 55200

Prime factors of 55200 are 2, 3, 5, 23. Prime factorization of 55200 in exponential form is:

55200 = 2⁵ × 3¹ × 5² × 23¹

Step-2: Prime Factorization of 55219

Prime factors of 55219 are 55219. Prime factorization of 55219 in exponential form is:

55219 = 55219¹

Step-3: Factors of 55200

List of positive integer factors of 55200 that divides 55200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 25, 30, 32, 40, 46, 48, 50, 60, 69, 75, 80, 92, 96, 100, 115, 120, 138, 150, 160, 184, 200, 230, 240, 276, 300, 345, 368, 400, 460, 480, 552, 575, 600, 690, 736, 800, 920, 1104, 1150, 1200, 1380, 1725, 1840, 2208, 2300, 2400, 2760, 3450, 3680, 4600, 5520, 6900, 9200, 11040, 13800, 18400, 27600

Step-4: Factors of 55219

List of positive integer factors of 55219 that divides 55200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55200 and 55219. The biggest common factor number is the GCF number.
So the greatest common factor 55200 and 55219 is 1.

Also check out the Least Common Multiple of 55200 and 55219