What is the Greatest Common Factor of 55230 and 55245?

Greatest common factor (GCF) of 55230 and 55245 is 15.

GCF(55230,55245) = 15

We will now calculate the prime factors of 55230 and 55245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55230 and 55245.

How to find the GCF of 55230 and 55245?

We will first find the prime factorization of 55230 and 55245. After we will calculate the factors of 55230 and 55245 and find the biggest common factor number .

Step-1: Prime Factorization of 55230

Prime factors of 55230 are 2, 3, 5, 7, 263. Prime factorization of 55230 in exponential form is:

55230 = 2¹ × 3¹ × 5¹ × 7¹ × 263¹

Step-2: Prime Factorization of 55245

Prime factors of 55245 are 3, 5, 29, 127. Prime factorization of 55245 in exponential form is:

55245 = 3¹ × 5¹ × 29¹ × 127¹

Step-3: Factors of 55230

List of positive integer factors of 55230 that divides 55230 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 263, 526, 789, 1315, 1578, 1841, 2630, 3682, 3945, 5523, 7890, 9205, 11046, 18410, 27615

Step-4: Factors of 55245

List of positive integer factors of 55245 that divides 55230 without a remainder.

1, 3, 5, 15, 29, 87, 127, 145, 381, 435, 635, 1905, 3683, 11049, 18415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55230 and 55245. The biggest common factor number is the GCF number.
So the greatest common factor 55230 and 55245 is 15.

Also check out the Least Common Multiple of 55230 and 55245