What is the Greatest Common Factor of 55225 and 55230?

Greatest common factor (GCF) of 55225 and 55230 is 5.

GCF(55225,55230) = 5

We will now calculate the prime factors of 55225 and 55230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55225 and 55230.

How to find the GCF of 55225 and 55230?

We will first find the prime factorization of 55225 and 55230. After we will calculate the factors of 55225 and 55230 and find the biggest common factor number .

Step-1: Prime Factorization of 55225

Prime factors of 55225 are 5, 47. Prime factorization of 55225 in exponential form is:

55225 = 5² × 47²

Step-2: 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-3: Factors of 55225

List of positive integer factors of 55225 that divides 55225 without a remainder.

1, 5, 25, 47, 235, 1175, 2209, 11045

Step-4: Factors of 55230

List of positive integer factors of 55230 that divides 55225 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55225 and 55230. The biggest common factor number is the GCF number.
So the greatest common factor 55225 and 55230 is 5.

Also check out the Least Common Multiple of 55225 and 55230