What is the Greatest Common Factor of 55200 and 55215?

Greatest common factor (GCF) of 55200 and 55215 is 15.

GCF(55200,55215) = 15

We will now calculate the prime factors of 55200 and 55215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55200 and 55215.

How to find the GCF of 55200 and 55215?

We will first find the prime factorization of 55200 and 55215. After we will calculate the factors of 55200 and 55215 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 55215

Prime factors of 55215 are 3, 5, 409. Prime factorization of 55215 in exponential form is:

55215 = 3³ × 5¹ × 409¹

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 55215

List of positive integer factors of 55215 that divides 55200 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 409, 1227, 2045, 3681, 6135, 11043, 18405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55200 and 55215. The biggest common factor number is the GCF number.
So the greatest common factor 55200 and 55215 is 15.

Also check out the Least Common Multiple of 55200 and 55215