What is the Greatest Common Factor of 55230 and 55244?

Greatest common factor (GCF) of 55230 and 55244 is 14.

GCF(55230,55244) = 14

We will now calculate the prime factors of 55230 and 55244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55230 and 55244.

How to find the GCF of 55230 and 55244?

We will first find the prime factorization of 55230 and 55244. After we will calculate the factors of 55230 and 55244 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 55244

Prime factors of 55244 are 2, 7, 1973. Prime factorization of 55244 in exponential form is:

55244 = 2² × 7¹ × 1973¹

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 55244

List of positive integer factors of 55244 that divides 55230 without a remainder.

1, 2, 4, 7, 14, 28, 1973, 3946, 7892, 13811, 27622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55230 and 55244. The biggest common factor number is the GCF number.
So the greatest common factor 55230 and 55244 is 14.

Also check out the Least Common Multiple of 55230 and 55244