What is the Greatest Common Factor of 55230 and 55237?

Greatest common factor (GCF) of 55230 and 55237 is 7.

GCF(55230,55237) = 7

We will now calculate the prime factors of 55230 and 55237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55230 and 55237.

How to find the GCF of 55230 and 55237?

We will first find the prime factorization of 55230 and 55237. After we will calculate the factors of 55230 and 55237 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 55237

Prime factors of 55237 are 7, 13, 607. Prime factorization of 55237 in exponential form is:

55237 = 7¹ × 13¹ × 607¹

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 55237

List of positive integer factors of 55237 that divides 55230 without a remainder.

1, 7, 13, 91, 607, 4249, 7891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55230 and 55237. The biggest common factor number is the GCF number.
So the greatest common factor 55230 and 55237 is 7.

Also check out the Least Common Multiple of 55230 and 55237