What is the Greatest Common Factor of 55230 and 55250?

Greatest common factor (GCF) of 55230 and 55250 is 10.

GCF(55230,55250) = 10

We will now calculate the prime factors of 55230 and 55250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55230 and 55250.

How to find the GCF of 55230 and 55250?

We will first find the prime factorization of 55230 and 55250. After we will calculate the factors of 55230 and 55250 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 55250

Prime factors of 55250 are 2, 5, 13, 17. Prime factorization of 55250 in exponential form is:

55250 = 2¹ × 5³ × 13¹ × 17¹

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 55250

List of positive integer factors of 55250 that divides 55230 without a remainder.

1, 2, 5, 10, 13, 17, 25, 26, 34, 50, 65, 85, 125, 130, 170, 221, 250, 325, 425, 442, 650, 850, 1105, 1625, 2125, 2210, 3250, 4250, 5525, 11050, 27625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55230 and 55250. The biggest common factor number is the GCF number.
So the greatest common factor 55230 and 55250 is 10.

Also check out the Least Common Multiple of 55230 and 55250