What is the Greatest Common Factor of 55200 and 55210?

Greatest common factor (GCF) of 55200 and 55210 is 10.

GCF(55200,55210) = 10

We will now calculate the prime factors of 55200 and 55210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55200 and 55210.

How to find the GCF of 55200 and 55210?

We will first find the prime factorization of 55200 and 55210. After we will calculate the factors of 55200 and 55210 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 55210

Prime factors of 55210 are 2, 5, 5521. Prime factorization of 55210 in exponential form is:

55210 = 2¹ × 5¹ × 5521¹

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 55210

List of positive integer factors of 55210 that divides 55200 without a remainder.

1, 2, 5, 10, 5521, 11042, 27605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55200 and 55210. The biggest common factor number is the GCF number.
So the greatest common factor 55200 and 55210 is 10.

Also check out the Least Common Multiple of 55200 and 55210